GCD of 180, 957, 944, 695 Calculator

Given Input numbers are 180, 957, 944, 695

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 180, 957, 944, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 957, 944, 695 is 1.

Therefore, GCD of numbers 180, 957, 944, 695 is 1

Given Input Data is 180, 957, 944, 695

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 695 is 5 x 139

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(180, 957) = 57420

GCD(180, 957) = ( 180 x 957 ) / 57420

GCD(180, 957) = 172260 / 57420

GCD(180, 957) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 944

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

LCM(3, 944) = 2832

GCD(3, 944) = ( 3 x 944 ) / 2832

GCD(3, 944) = 2832 / 2832

GCD(3, 944) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

GCD of 180, 957, 944, 695 is 1

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1. What is the GCD of 180, 957, 944, 695?

GCD of 180, 957, 944, 695 is 1

2. Where do I get the detailed procedure to find GCD of 180, 957, 944, 695?

You can find a detailed procedure to find GCD of 180, 957, 944, 695 on our page.

3. How to find GCD of 180, 957, 944, 695 on a calculator?

You can find the GCD of 180, 957, 944, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.