Question

HCF and LCM of 56 and 210

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the highest common factor (HCF) and the lowest common multiple (LCM) of 56 and 210, we can start by finding the prime factorization of each number.

The prime factorization of 56 is 2^3 * 7.
The prime factorization of 210 is 2 * 3 * 5 * 7.

To find the HCF, we can take the highest power of each common prime factor. In this case, the common prime factor is 7, and the highest power is 7^1.

Therefore, the HCF of 56 and 210 is 7.

To find the LCM, we can take the highest power of each prime factor from both numbers. In this case, the prime factors are 2, 3, 5, and 7, and the highest powers are 2^3, 3^1, 5^1, and 7^1.

Therefore, the LCM of 56 and 210 is 2^3 * 3^1 * 5^1 * 7^1 = 2 * 8 * 3 * 5 * 7 = 840.

So the HCF is 7 and the LCM is 840.