GCD of 319, 957, 370, 920 Calculator

Given Input numbers are 319, 957, 370, 920

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

Divisors of 319

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

1, 11, 29, 319

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 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 319, 957, 370, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 957, 370, 920 is 1.

Therefore, GCD of numbers 319, 957, 370, 920 is 1

Given Input Data is 319, 957, 370, 920

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(319, 957) = 957

GCD(319, 957) = ( 319 x 957 ) / 957

GCD(319, 957) = 305283 / 957

GCD(319, 957) = 319

Step2:

Here we consider the GCD from the above i.e. 319 as first number and the next as 370

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

LCM(319, 370) = 118030

GCD(319, 370) = ( 319 x 370 ) / 118030

GCD(319, 370) = 118030 / 118030

GCD(319, 370) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 319, 957, 370, 920 is 1

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1. What is the GCD of 319, 957, 370, 920?

GCD of 319, 957, 370, 920 is 1

2. Where do I get the detailed procedure to find GCD of 319, 957, 370, 920?

You can find a detailed procedure to find GCD of 319, 957, 370, 920 on our page.

3. How to find GCD of 319, 957, 370, 920 on a calculator?

You can find the GCD of 319, 957, 370, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.