Question

Find The largest integer which is a factor of both 308 and 952.

Answer 1

The largest factor of 308 and 952 is 28.

What is factor?

A number or algebraic expression that divides another number or expression evenly.

The factors of 308 are: 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

The factors of 952 are: 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

As, seen from above 28 is the largest number which is common to both.

Now, LCM of 308 and 952 is 10472

Now, 10472/308 = 34

Hence, smallest integer value of people such that 308p is a multiple of 952 is 34.

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