GCD of 133, 971, 56, 319 Calculator

Given Input numbers are 133, 971, 56, 319

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

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 133, 971, 56, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 971, 56, 319 is 1.

Therefore, GCD of numbers 133, 971, 56, 319 is 1

Given Input Data is 133, 971, 56, 319

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 971 is 971

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 319 is 11 x 29

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(133, 971) = 129143

GCD(133, 971) = ( 133 x 971 ) / 129143

GCD(133, 971) = 129143 / 129143

GCD(133, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 319

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

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

GCD(1, 319) = 319 / 319

GCD(1, 319) = 1

GCD of 133, 971, 56, 319 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 753, 380, 39, 817
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• GCD of 385, 954, 48, 867

1. What is the GCD of 133, 971, 56, 319?

GCD of 133, 971, 56, 319 is 1

2. Where do I get the detailed procedure to find GCD of 133, 971, 56, 319?

You can find a detailed procedure to find GCD of 133, 971, 56, 319 on our page.

3. How to find GCD of 133, 971, 56, 319 on a calculator?

You can find the GCD of 133, 971, 56, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.