GCD of 171, 508, 979, 900 Calculator

Given Input numbers are 171, 508, 979, 900

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 171, 508, 979, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 508, 979, 900 is 1.

Therefore, GCD of numbers 171, 508, 979, 900 is 1

Given Input Data is 171, 508, 979, 900

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 979 is 11 x 89

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(171, 508) = 86868

GCD(171, 508) = ( 171 x 508 ) / 86868

GCD(171, 508) = 86868 / 86868

GCD(171, 508) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 171, 508, 979, 900 is 1

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1. What is the GCD of 171, 508, 979, 900?

GCD of 171, 508, 979, 900 is 1

2. Where do I get the detailed procedure to find GCD of 171, 508, 979, 900?

You can find a detailed procedure to find GCD of 171, 508, 979, 900 on our page.

3. How to find GCD of 171, 508, 979, 900 on a calculator?

You can find the GCD of 171, 508, 979, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.