GCD of 138, 723, 656, 962 Calculator

Given Input numbers are 138, 723, 656, 962

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

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 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 138, 723, 656, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 723, 656, 962 is 1.

Therefore, GCD of numbers 138, 723, 656, 962 is 1

Given Input Data is 138, 723, 656, 962

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 723 is 3 x 241

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 962 is 2 x 13 x 37

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(138, 723) = 33258

GCD(138, 723) = ( 138 x 723 ) / 33258

GCD(138, 723) = 99774 / 33258

GCD(138, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 656

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

LCM(3, 656) = 1968

GCD(3, 656) = ( 3 x 656 ) / 1968

GCD(3, 656) = 1968 / 1968

GCD(3, 656) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 962

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

LCM(1, 962) = 962

GCD(1, 962) = ( 1 x 962 ) / 962

GCD(1, 962) = 962 / 962

GCD(1, 962) = 1

GCD of 138, 723, 656, 962 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 614, 590, 483
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1. What is the GCD of 138, 723, 656, 962?

GCD of 138, 723, 656, 962 is 1

2. Where do I get the detailed procedure to find GCD of 138, 723, 656, 962?

You can find a detailed procedure to find GCD of 138, 723, 656, 962 on our page.

3. How to find GCD of 138, 723, 656, 962 on a calculator?

You can find the GCD of 138, 723, 656, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.