Question

HCF and LCM of 360 and 40.

Answer 1

HCF OF 360 AND 40 IS
Find the prime factorization of 360
360 = 2 × 2 × 2 × 3 × 3 × 5Find the prime factorization of 40
40 = 2 × 2 × 2 × 5Multiply all the common factors obtained in steps i) and ii) above to find the gcf:

HCF = 2 × 2 × 2 × 5GCF = 40..

LCM:Find the prime factorization of 360
360 = 2 × 2 × 2 × 3 × 3 × 5Find the prime factorization of 40
40 = 2 × 2 × 2 × 5Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2 × 2 × 2 × 3 × 3 × 5LCM = 360

Answer 2

hi friends
for finding the HCF and LCM of 360 and 40, we need to find the prime factorization of that numbers
360 = 2×2×2×3×3×5
40 = 2×2×2×5
then find the numbers which are common in both, and multiply them
2×2×2×5 = 40
therefore, HCF = 40.


LCM of 360 and 40
and from the above prime factorization,
2×2×2×3×3×5 = 360
therefore, LCM= 360