GCD of 462, 116, 659, 979 Calculator

Given Input numbers are 462, 116, 659, 979

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

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 462, 116, 659, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 116, 659, 979 is 1.

Therefore, GCD of numbers 462, 116, 659, 979 is 1

Given Input Data is 462, 116, 659, 979

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 659 is 659

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(462, 116) = 26796

GCD(462, 116) = ( 462 x 116 ) / 26796

GCD(462, 116) = 53592 / 26796

GCD(462, 116) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 659

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

LCM(2, 659) = 1318

GCD(2, 659) = ( 2 x 659 ) / 1318

GCD(2, 659) = 1318 / 1318

GCD(2, 659) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

GCD of 462, 116, 659, 979 is 1

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• GCD of 450, 519, 535, 529
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1. What is the GCD of 462, 116, 659, 979?

GCD of 462, 116, 659, 979 is 1

2. Where do I get the detailed procedure to find GCD of 462, 116, 659, 979?

You can find a detailed procedure to find GCD of 462, 116, 659, 979 on our page.

3. How to find GCD of 462, 116, 659, 979 on a calculator?

You can find the GCD of 462, 116, 659, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.