GCD of 121, 580, 32, 686 Calculator

Given Input numbers are 121, 580, 32, 686

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

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 121, 580, 32, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 580, 32, 686 is 1.

Therefore, GCD of numbers 121, 580, 32, 686 is 1

Given Input Data is 121, 580, 32, 686

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

Prime Factorization of 121 is 11 x 11

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(121, 580) = 70180

GCD(121, 580) = ( 121 x 580 ) / 70180

GCD(121, 580) = 70180 / 70180

GCD(121, 580) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 121, 580, 32, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 864, 65, 689
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• GCD of 506, 222, 84, 796

1. What is the GCD of 121, 580, 32, 686?

GCD of 121, 580, 32, 686 is 1

2. Where do I get the detailed procedure to find GCD of 121, 580, 32, 686?

You can find a detailed procedure to find GCD of 121, 580, 32, 686 on our page.

3. How to find GCD of 121, 580, 32, 686 on a calculator?

You can find the GCD of 121, 580, 32, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.