GCD of 975, 935, 708, 516 Calculator

Given Input numbers are 975, 935, 708, 516

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 975, 935, 708, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 935, 708, 516 is 1.

Therefore, GCD of numbers 975, 935, 708, 516 is 1

Given Input Data is 975, 935, 708, 516

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 935 is 5 x 11 x 17

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

The above numbers do not have any common prime factor. So GCD is 1

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(975, 935) = 182325

GCD(975, 935) = ( 975 x 935 ) / 182325

GCD(975, 935) = 911625 / 182325

GCD(975, 935) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 708

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

LCM(5, 708) = 3540

GCD(5, 708) = ( 5 x 708 ) / 3540

GCD(5, 708) = 3540 / 3540

GCD(5, 708) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 975, 935, 708, 516 is 1

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1. What is the GCD of 975, 935, 708, 516?

GCD of 975, 935, 708, 516 is 1

2. Where do I get the detailed procedure to find GCD of 975, 935, 708, 516?

You can find a detailed procedure to find GCD of 975, 935, 708, 516 on our page.

3. How to find GCD of 975, 935, 708, 516 on a calculator?

You can find the GCD of 975, 935, 708, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.