GCD of 424, 625, 20, 686 Calculator

Given Input numbers are 424, 625, 20, 686

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

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 424, 625, 20, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 625, 20, 686 is 1.

Therefore, GCD of numbers 424, 625, 20, 686 is 1

Given Input Data is 424, 625, 20, 686

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 20 is 2 x 2 x 5

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(424, 625) = 265000

GCD(424, 625) = ( 424 x 625 ) / 265000

GCD(424, 625) = 265000 / 265000

GCD(424, 625) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 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 424, 625, 20, 686 is 1

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1. What is the GCD of 424, 625, 20, 686?

GCD of 424, 625, 20, 686 is 1

2. Where do I get the detailed procedure to find GCD of 424, 625, 20, 686?

You can find a detailed procedure to find GCD of 424, 625, 20, 686 on our page.

3. How to find GCD of 424, 625, 20, 686 on a calculator?

You can find the GCD of 424, 625, 20, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.