Using a venn diagram find the hcf and lcm of 78 and 24 ?

To find the HCF and LCM of 78 and 24 using a Venn diagram, we first need to list the prime factors of each number.

78 = 2 x 3 x 13
24 = 2 x 2 x 2 x 3

Now we can create a Venn diagram to find the HCF and LCM:

HCF: The HCF is the product of the common prime factors in both numbers. In this case, the common prime factors are 2 and 3. Therefore, the HCF = 2 x 3 = 6.

LCM: The LCM is the product of all the prime factors in both numbers. In this case, the prime factors are 2, 2, 2, 3, and 13. Therefore, the LCM = 2 x 2 x 2 x 3 x 13 = 312.

Therefore, the HCF of 78 and 24 is 6 and the LCM is 312.

78: 2, 3, 6, 11, 13, 22, 26, 39, 78
24: 1, 2, 3, 4, 6, 8, 12, 24

HCF: 6

LCM: 588