Using a venn diagram find the hcf and lcm of 62 and 81 ?
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May 28
To find the HCF and LCM of 62 and 81 using a Venn diagram, we first need to list the prime factors of each number.
Prime factors of 62: 62 = 2 x 31
Prime factors of 81: 81 = 3 x 3 x 3 x 3 = 3^4
Now, we can create a Venn diagram to find the HCF and LCM:
HCF (Highest Common Factor): The HCF is the product of the common prime factors in the intersection of the two circles in the Venn diagram. HCF = 1 (since there are no common prime factors between 62 and 81)
LCM (Lowest Common Multiple): The LCM is the product of all the prime factors in both circles of the Venn diagram. LCM = 2 x 31 x 3^4 = 558
Therefore, the HCF of 62 and 81 is 1 and the LCM is 558.