GCD of 108, 438, 138, 971 Calculator

Given Input numbers are 108, 438, 138, 971

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

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 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 108, 438, 138, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 438, 138, 971 is 1.

Therefore, GCD of numbers 108, 438, 138, 971 is 1

Given Input Data is 108, 438, 138, 971

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 971 is 971

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(108, 438) = 7884

GCD(108, 438) = ( 108 x 438 ) / 7884

GCD(108, 438) = 47304 / 7884

GCD(108, 438) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 138

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

LCM(6, 138) = 138

GCD(6, 138) = ( 6 x 138 ) / 138

GCD(6, 138) = 828 / 138

GCD(6, 138) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 971

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

LCM(6, 971) = 5826

GCD(6, 971) = ( 6 x 971 ) / 5826

GCD(6, 971) = 5826 / 5826

GCD(6, 971) = 1

GCD of 108, 438, 138, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 678, 181, 490
• GCD of 587, 862, 280, 595
• GCD of 468, 774, 582, 806
• GCD of 452, 431, 465, 507
• GCD of 655, 599, 365, 135

1. What is the GCD of 108, 438, 138, 971?

GCD of 108, 438, 138, 971 is 1

2. Where do I get the detailed procedure to find GCD of 108, 438, 138, 971?

You can find a detailed procedure to find GCD of 108, 438, 138, 971 on our page.

3. How to find GCD of 108, 438, 138, 971 on a calculator?

You can find the GCD of 108, 438, 138, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.