GCD of 138, 707, 22, 972 Calculator

Given Input numbers are 138, 707, 22, 972

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 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 138, 707, 22, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 707, 22, 972 is 1.

Therefore, GCD of numbers 138, 707, 22, 972 is 1

Given Input Data is 138, 707, 22, 972

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 707 is 7 x 101

Prime Factorization of 22 is 2 x 11

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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, 707) = 97566

GCD(138, 707) = ( 138 x 707 ) / 97566

GCD(138, 707) = 97566 / 97566

GCD(138, 707) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 138, 707, 22, 972 is 1

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• GCD of 634, 572, 91, 397
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• GCD of 179, 821, 27, 506

1. What is the GCD of 138, 707, 22, 972?

GCD of 138, 707, 22, 972 is 1

2. Where do I get the detailed procedure to find GCD of 138, 707, 22, 972?

You can find a detailed procedure to find GCD of 138, 707, 22, 972 on our page.

3. How to find GCD of 138, 707, 22, 972 on a calculator?

You can find the GCD of 138, 707, 22, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.