GCD of 131, 476, 953, 144 Calculator

Given Input numbers are 131, 476, 953, 144

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

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

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 131, 476, 953, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 476, 953, 144 is 1.

Therefore, GCD of numbers 131, 476, 953, 144 is 1

Given Input Data is 131, 476, 953, 144

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

Prime Factorization of 131 is 131

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 953 is 953

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(131, 476) = 62356

GCD(131, 476) = ( 131 x 476 ) / 62356

GCD(131, 476) = 62356 / 62356

GCD(131, 476) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 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 131, 476, 953, 144 is 1

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1. What is the GCD of 131, 476, 953, 144?

GCD of 131, 476, 953, 144 is 1

2. Where do I get the detailed procedure to find GCD of 131, 476, 953, 144?

You can find a detailed procedure to find GCD of 131, 476, 953, 144 on our page.

3. How to find GCD of 131, 476, 953, 144 on a calculator?

You can find the GCD of 131, 476, 953, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.