GCD of 658, 728, 316, 979 Calculator

Given Input numbers are 658, 728, 316, 979

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 658, 728, 316, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 728, 316, 979 is 1.

Therefore, GCD of numbers 658, 728, 316, 979 is 1

Given Input Data is 658, 728, 316, 979

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 979 is 11 x 89

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(658, 728) = 34216

GCD(658, 728) = ( 658 x 728 ) / 34216

GCD(658, 728) = 479024 / 34216

GCD(658, 728) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 316

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

LCM(14, 316) = 2212

GCD(14, 316) = ( 14 x 316 ) / 2212

GCD(14, 316) = 4424 / 2212

GCD(14, 316) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 979

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

LCM(2, 979) = 1958

GCD(2, 979) = ( 2 x 979 ) / 1958

GCD(2, 979) = 1958 / 1958

GCD(2, 979) = 1

GCD of 658, 728, 316, 979 is 1

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1. What is the GCD of 658, 728, 316, 979?

GCD of 658, 728, 316, 979 is 1

2. Where do I get the detailed procedure to find GCD of 658, 728, 316, 979?

You can find a detailed procedure to find GCD of 658, 728, 316, 979 on our page.

3. How to find GCD of 658, 728, 316, 979 on a calculator?

You can find the GCD of 658, 728, 316, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.