GCD of 360, 908, 39, 971 Calculator

Given Input numbers are 360, 908, 39, 971

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 908

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

1, 2, 4, 227, 454, 908

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

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 360, 908, 39, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 908, 39, 971 is 1.

Therefore, GCD of numbers 360, 908, 39, 971 is 1

Given Input Data is 360, 908, 39, 971

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 39 is 3 x 13

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(360, 908) = 81720

GCD(360, 908) = ( 360 x 908 ) / 81720

GCD(360, 908) = 326880 / 81720

GCD(360, 908) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 39

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

LCM(4, 39) = 156

GCD(4, 39) = ( 4 x 39 ) / 156

GCD(4, 39) = 156 / 156

GCD(4, 39) = 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 360, 908, 39, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 164, 43, 239
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• GCD of 157, 613, 18, 573
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• GCD of 536, 650, 55, 802

1. What is the GCD of 360, 908, 39, 971?

GCD of 360, 908, 39, 971 is 1

2. Where do I get the detailed procedure to find GCD of 360, 908, 39, 971?

You can find a detailed procedure to find GCD of 360, 908, 39, 971 on our page.

3. How to find GCD of 360, 908, 39, 971 on a calculator?

You can find the GCD of 360, 908, 39, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.