Question Bank: Finding Common Ground

What is the size of the largest square tile Sameeksha should buy for a room measuring 12 ft by 16 ft?

If Sameeksha uses tiles of size 4 ft, how many tiles will she need to cover the entire floor area of the room?

What is the Highest Common Factor (HCF) of 12 and 16?

Which of the following dimensions can also fit evenly into the length of Sameeksha's room apart from tiles of size 4 ft?

Lekhana has 84 kg of rice and 108 kg of rice. If she wants to pack them in bags of equal weight, what is the maximum weight of each bag?

Which of the following is NOT a factor of 84?

If Sameeksha uses tiles of size 2 ft, how many tiles will she need to cover the room?

Which value is the GCD of 48 and 180?

From the dimensions given, how many factors does the number 12 have?

If the dimensions of the room were doubled, what would be the new dimensions?

Which of the following sizes would require more tiles to cover the floor than 4 ft tiles?

What is the HCF of 36 and 60?

If Lekhana wants the rice bags to weigh 14 kg, how many bags will she need for 84 kg of rice?

Which of the following is a factor of both 120 and 150?

What factor is shared between the numbers 28 and 42?

What is the smallest common multiple of 6 and 8?

What is the HCF of 50 and 60?

If two strips are 20 cm and 30 cm long, what is the least common length for both to make?

Determine the HCF of 140 and 275.

What is the HCF of 77 and 725?

What is the smallest number of days Kabamai will get free gajak again if she visits every 10 days?

Find the largest common factor of 225 and 750.

What is the least common multiple of 9 and 12?

If Anshu uses strips of 6 cm each and Guna uses 8 cm strips, which is a common length?

Find the HCF of 370 and 592.

Which pair of numbers has no common factors?

The HCF of any two co-prime numbers is?

What is the greatest common divisor of 36 and 8?

What is the least common multiple of 5, 10, and 15?

How can you determine the HCF of multiple numbers?

What are the common factors of 12 and 16?

Which number has the most common factors with 36?

What is the highest common factor (HCF) of 45 and 75?

If two numbers are 60 and 48, what is their HCF?

Find the highest common factor of 72 and 120.

What is the common factor of 100 and 25?

The common factors of two prime numbers are?

What is the least common multiple (LCM) of 5 and 10 after identifying common factors?

The factors of which of the following numbers are all odd?

Which number is NOT a factor of 64?

What is the smallest common factor of any two non-zero integers?

Which of the following pairs has the same HCF?

The HCF of 56 and 98 can be directly obtained using which method?

What is the common factor of 35 and 21?

If the HCF of a set of numbers is 1, what can be inferred about the numbers?

What is the HCF of 12 and 18?

Which pair of numbers has an HCF of 1?

The LCM of two numbers is 60. Which of the following could be one of the numbers?

What is the LCM of 5 and 10?

If the HCF of two numbers is 8, which statement is true?

Find the LCM of the numbers 6 and 9.

Which pair of numbers has a common factor of 3 and a HCF of 3?

What is the result of applying the generalization that if n is a number, any multiple of n can be expressed as?

When is a number the HCF of itself and another number?

What is the prime factorization of 36?

To find the LCM of 8 and 12, which method would you use?

The least common multiple of which of the following numbers is 30?

If a number x is a multiple of 4, then x must also be a multiple of which of the following?

If the HCF of two numbers is multiplied by their LCM, what is the result in terms of those numbers?

The HCF of 9 and 27 is equal to which of the following?

What is the prime factorization of 42?

Which of the following is the prime factorization of 60?

What is the prime factorization of 225?

When performing prime factorization of a number, how do you know you have completed the process?

Which of the following represents the prime factorization process correctly?

What are the prime factors of 105?

If a number has a prime factorization of 2 × 2 × 3, what is the number?

Find the prime factorization of 180.

Which of the following numbers is a composite number?

What is the prime factorization of 84?

If the prime factorization of a number is given as 2 × 3 × 5, what is the HCF of this number and 30?

Express 150 as a product of its prime factors.

What is the prime factorization of 126?

Which number cannot be expressed as a product of primes?

If a prime factorization has three factors of 2 and two factors of 3, what number does it represent?

How do you determine the total number of factors from a prime factorization?

What is the prime factorization of 18?

Which of the following represents the LCM of 12 and 15 using prime factorization?

If the prime factors of 24 are 2 × 2 × 2 × 3, which prime factor needs to be considered for LCM with 36?

What is the LCM of 5 and 9 using prime factorization?

Which number must be included in the LCM calculation of 48 and 18?

What is the correct method to find the LCM of two coprime numbers?

Given the prime factorizations of 36 (2^2 × 3^2) and 60 (2^2 × 3 × 5), what is the LCM?

To find the LCM of 24 and 36, which prime factor has the highest exponent?

Calculate the LCM of 8 and 12 through their prime factorization.

If a mistake is made in the prime factorization, how does it affect the LCM?

What is the LCM of two numbers that are the same, such as 9 and 9?

Which of the following scenarios would require finding the LCM?

Find the LCM using prime factorization for the numbers 10 and 25.