Question
The HCF of 36, 45 and 54 is ______.
The correct answer 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.
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Important Questions from LCM and HCF
- The LCM of $3^3 \times 8^2 \times 13$, $3^2 \times 13^2 \times 16$ and $8^3 \times 13^2 \times 16^2$ is:
- The sum of two numbers is 80 and their L.C.M. is 558. What are the two numbers?
- The LCM of the numbers 6.3 and 0.07 is:
The HCF and LCM of two numbers are 11 and 330, respectively. If one of the numbers is 110, find the other one.
- The sum of two numbers is 57 and their L.C.M. is 812. What are the two numbers?
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