GCD of 957, 853, 171, 144 Calculator

Given Input numbers are 957, 853, 171, 144

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

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 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 957, 853, 171, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 853, 171, 144 is 1.

Therefore, GCD of numbers 957, 853, 171, 144 is 1

Given Input Data is 957, 853, 171, 144

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

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 853 is 853

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(957, 853) = 816321

GCD(957, 853) = ( 957 x 853 ) / 816321

GCD(957, 853) = 816321 / 816321

GCD(957, 853) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 957, 853, 171, 144 is 1

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1. What is the GCD of 957, 853, 171, 144?

GCD of 957, 853, 171, 144 is 1

2. Where do I get the detailed procedure to find GCD of 957, 853, 171, 144?

You can find a detailed procedure to find GCD of 957, 853, 171, 144 on our page.

3. How to find GCD of 957, 853, 171, 144 on a calculator?

You can find the GCD of 957, 853, 171, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.