GCD of 117, 872, 289, 971 Calculator

Given Input numbers are 117, 872, 289, 971

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

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 117, 872, 289, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 872, 289, 971 is 1.

Therefore, GCD of numbers 117, 872, 289, 971 is 1

Given Input Data is 117, 872, 289, 971

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 289 is 17 x 17

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(117, 872) = 102024

GCD(117, 872) = ( 117 x 872 ) / 102024

GCD(117, 872) = 102024 / 102024

GCD(117, 872) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 117, 872, 289, 971 is 1

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1. What is the GCD of 117, 872, 289, 971?

GCD of 117, 872, 289, 971 is 1

2. Where do I get the detailed procedure to find GCD of 117, 872, 289, 971?

You can find a detailed procedure to find GCD of 117, 872, 289, 971 on our page.

3. How to find GCD of 117, 872, 289, 971 on a calculator?

You can find the GCD of 117, 872, 289, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.