Find the largest number which divides 438 and 606
Asked by admin @ in Math viewed by 350 People
Find the largest number which divides 438 and 606 leaving remainder 6 in each case .
Answered by admin @
Given that the largest number which divides 438 and 606 leaving remainder 6.
We need to deduct the remainder 6 from both the cases.
438 - 6 = 432
606 - 6 = 600.
Therefore HCF of 432 and 600 gives us the largest number remainder that gives remainder 6.
Prime factorization of 432 = 2 * 2 * 2 * 2 * 3 * 3 *
Prime factorization of 600 = 2 * 2 * 2 * 3 * 5 * 5
HCF(432,600) = 2 * 2 * 2 * 3
= 24.
Hence the largest number is 24 that divides 438 and 600 leaving remainder 6.
Hope this helps!
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