GCD of 613, 687, 100, 902 Calculator

Given Input numbers are 613, 687, 100, 902

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

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 613, 687, 100, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 613, 687, 100, 902 is 1.

Therefore, GCD of numbers 613, 687, 100, 902 is 1

Given Input Data is 613, 687, 100, 902

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

Prime Factorization of 613 is 613

Prime Factorization of 687 is 3 x 229

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 902 is 2 x 11 x 41

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(613, 687) = 421131

GCD(613, 687) = ( 613 x 687 ) / 421131

GCD(613, 687) = 421131 / 421131

GCD(613, 687) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 613, 687, 100, 902 is 1

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1. What is the GCD of 613, 687, 100, 902?

GCD of 613, 687, 100, 902 is 1

2. Where do I get the detailed procedure to find GCD of 613, 687, 100, 902?

You can find a detailed procedure to find GCD of 613, 687, 100, 902 on our page.

3. How to find GCD of 613, 687, 100, 902 on a calculator?

You can find the GCD of 613, 687, 100, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.