GCD of 10, 117, 251, 908 Calculator

Given Input numbers are 10, 117, 251, 908

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 117

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

1, 3, 9, 13, 39, 117

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 10, 117, 251, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 117, 251, 908 is 1.

Therefore, GCD of numbers 10, 117, 251, 908 is 1

Given Input Data is 10, 117, 251, 908

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 251 is 251

Prime Factorization of 908 is 2 x 2 x 227

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(10, 117) = 1170

GCD(10, 117) = ( 10 x 117 ) / 1170

GCD(10, 117) = 1170 / 1170

GCD(10, 117) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

GCD of 10, 117, 251, 908 is 1

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1. What is the GCD of 10, 117, 251, 908?

GCD of 10, 117, 251, 908 is 1

2. Where do I get the detailed procedure to find GCD of 10, 117, 251, 908?

You can find a detailed procedure to find GCD of 10, 117, 251, 908 on our page.

3. How to find GCD of 10, 117, 251, 908 on a calculator?

You can find the GCD of 10, 117, 251, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.