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 greatest three-digit number which is divisible by 14, 28, and 42 is:
What is the greatest number that will divide 209 and 347 leaving remainder 5 and 7 respectively?
A number is three times another number and their HCF is 8. What is the sum of the squares of the numbers?
The HCF of 2091, 3485 and 4879 is x. The sum of the digits of x is:
If three numbers are in ratio of 3 : 5 : 7 and their LCM is 2415, what is the difference between the second number and the first number?
