GCD of 682, 695, 138, 921 Calculator

Given Input numbers are 682, 695, 138, 921

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 682, 695, 138, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 695, 138, 921 is 1.

Therefore, GCD of numbers 682, 695, 138, 921 is 1

Given Input Data is 682, 695, 138, 921

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 695 is 5 x 139

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 921 is 3 x 307

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(682, 695) = 473990

GCD(682, 695) = ( 682 x 695 ) / 473990

GCD(682, 695) = 473990 / 473990

GCD(682, 695) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 682, 695, 138, 921 is 1

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1. What is the GCD of 682, 695, 138, 921?

GCD of 682, 695, 138, 921 is 1

2. Where do I get the detailed procedure to find GCD of 682, 695, 138, 921?

You can find a detailed procedure to find GCD of 682, 695, 138, 921 on our page.

3. How to find GCD of 682, 695, 138, 921 on a calculator?

You can find the GCD of 682, 695, 138, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.