GCD of 680, 956, 558, 829 Calculator

Given Input numbers are 680, 956, 558, 829

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 680, 956, 558, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 956, 558, 829 is 1.

Therefore, GCD of numbers 680, 956, 558, 829 is 1

Given Input Data is 680, 956, 558, 829

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 829 is 829

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(680, 956) = 162520

GCD(680, 956) = ( 680 x 956 ) / 162520

GCD(680, 956) = 650080 / 162520

GCD(680, 956) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 558

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

LCM(4, 558) = 1116

GCD(4, 558) = ( 4 x 558 ) / 1116

GCD(4, 558) = 2232 / 1116

GCD(4, 558) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 829

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

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

GCD(2, 829) = 1658 / 1658

GCD(2, 829) = 1

GCD of 680, 956, 558, 829 is 1

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1. What is the GCD of 680, 956, 558, 829?

GCD of 680, 956, 558, 829 is 1

2. Where do I get the detailed procedure to find GCD of 680, 956, 558, 829?

You can find a detailed procedure to find GCD of 680, 956, 558, 829 on our page.

3. How to find GCD of 680, 956, 558, 829 on a calculator?

You can find the GCD of 680, 956, 558, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.