GCD of 680, 479, 31, 828 Calculator

Given Input numbers are 680, 479, 31, 828

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 479

List of positive integer divisors of 479 that divides 479 without a remainder.

1, 479

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 680, 479, 31, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 479, 31, 828 is 1.

Therefore, GCD of numbers 680, 479, 31, 828 is 1

Given Input Data is 680, 479, 31, 828

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 479 is 479

Prime Factorization of 31 is 31

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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, 479) = 325720

GCD(680, 479) = ( 680 x 479 ) / 325720

GCD(680, 479) = 325720 / 325720

GCD(680, 479) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 680, 479, 31, 828 is 1

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• GCD of 358, 839, 75, 186
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1. What is the GCD of 680, 479, 31, 828?

GCD of 680, 479, 31, 828 is 1

2. Where do I get the detailed procedure to find GCD of 680, 479, 31, 828?

You can find a detailed procedure to find GCD of 680, 479, 31, 828 on our page.

3. How to find GCD of 680, 479, 31, 828 on a calculator?

You can find the GCD of 680, 479, 31, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.