GCD of 952, 756, 708 Calculator

Given Input numbers are 952, 756, 708

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 952, 756, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 756, 708 is 4.

Therefore, GCD of numbers 952, 756, 708 is 4

Given Input Data is 952, 756, 708

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 708 is 2 x 2 x 3 x 59

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(952, 756) = 25704

GCD(952, 756) = ( 952 x 756 ) / 25704

GCD(952, 756) = 719712 / 25704

GCD(952, 756) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 708

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(28, 708) = 4956

GCD(28, 708) = ( 28 x 708 ) / 4956

GCD(28, 708) = 19824 / 4956

GCD(28, 708) = 4

GCD of 952, 756, 708 is 4

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1. What is the GCD of 952, 756, 708?

GCD of 952, 756, 708 is 4

2. Where do I get the detailed procedure to find GCD of 952, 756, 708?

You can find a detailed procedure to find GCD of 952, 756, 708 on our page.

3. How to find GCD of 952, 756, 708 on a calculator?

You can find the GCD of 952, 756, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.