GCD of 957, 814, 359 Calculator

Given Input numbers are 957, 814, 359

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 957, 814, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 814, 359 is 1.

Therefore, GCD of numbers 957, 814, 359 is 1

Given Input Data is 957, 814, 359

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 814 is 2 x 11 x 37

Prime Factorization of 359 is 359

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, 814) = 70818

GCD(957, 814) = ( 957 x 814 ) / 70818

GCD(957, 814) = 778998 / 70818

GCD(957, 814) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 359

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

LCM(11, 359) = 3949

GCD(11, 359) = ( 11 x 359 ) / 3949

GCD(11, 359) = 3949 / 3949

GCD(11, 359) = 1

GCD of 957, 814, 359 is 1

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1. What is the GCD of 957, 814, 359?

GCD of 957, 814, 359 is 1

2. Where do I get the detailed procedure to find GCD of 957, 814, 359?

You can find a detailed procedure to find GCD of 957, 814, 359 on our page.

3. How to find GCD of 957, 814, 359 on a calculator?

You can find the GCD of 957, 814, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.