Given that (k-6) is the highest common factor of 56 and 77 Find the value of k - Maths - Factors and Multiples

Question

Given that (k-6) is the highest common factor of 56 and 77 Find the
value of k? Q6 John took some marbles He made groups of five with
them and found that one marble was left over He tried making groups
of six and groups of four Each time one marble was left over What
is the smallest number of marbles that John had ?

Ayushi Chaurasiya · Accepted Answer

Dear Student,
Q- 
Given that (k-6) is the highest common factor of 56 and 77 Find the
value of k?
Solution-
Prime Factorization of 56 = 2×2×2×7Prime Factorization of 77=7×11HCF of 56 and 77 = 7As per question, k-6 is equal to 7⇒k-6=7⇒k=7+6⇒k=13For other question, we request you to please ask in separate thread
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