The HCF of 36, 45 and 54 is ______.
9
To find the Highest Common Factor (HCF) of 36, 45, and 54, we can use the prime factorization method.
First, let's find the prime factorization of each number:
- 36 = 22 × 32
- 45 = 32 × 5
- 54 = 2 × 33
The HCF is found by identifying the common prime factors with the lowest powers and multiplying them together. In this case, the only common prime factor is 3. The lowest power of 3 present in the factorizations is 32 = 9.
Therefore, the HCF of 36, 45, and 54 is 9.
Important Questions from LCM and HCF
The HCF and LCM of two numbers are 12 and 72, respectively. If the ratio of the two numbers is 2 ∶ 3, then the larger of the two numbers is:
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
Joseph visits the club on every 5 th day, Harsh visits on every 24 th day, while Sumit visits on every 9 th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?
What is the least number which when divided by 12,20 and 24 leaves in each case a remainder of 8?
Which of the following is a pair of co-primes?
