GCD of 979, 429, 782, 986 Calculator

Given Input numbers are 979, 429, 782, 986

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

Divisors of 979

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

1, 11, 89, 979

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 979, 429, 782, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 979, 429, 782, 986 is 1.

Therefore, GCD of numbers 979, 429, 782, 986 is 1

Given Input Data is 979, 429, 782, 986

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

Prime Factorization of 979 is 11 x 89

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 986 is 2 x 17 x 29

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(979, 429) = 38181

GCD(979, 429) = ( 979 x 429 ) / 38181

GCD(979, 429) = 419991 / 38181

GCD(979, 429) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 782

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

LCM(11, 782) = 8602

GCD(11, 782) = ( 11 x 782 ) / 8602

GCD(11, 782) = 8602 / 8602

GCD(11, 782) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 979, 429, 782, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 520, 521, 521
• GCD of 458, 137, 868, 932
• GCD of 362, 574, 331, 709
• GCD of 875, 663, 479, 202
• GCD of 751, 580, 229, 827

1. What is the GCD of 979, 429, 782, 986?

GCD of 979, 429, 782, 986 is 1

2. Where do I get the detailed procedure to find GCD of 979, 429, 782, 986?

You can find a detailed procedure to find GCD of 979, 429, 782, 986 on our page.

3. How to find GCD of 979, 429, 782, 986 on a calculator?

You can find the GCD of 979, 429, 782, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.