GCD of 358, 917, 40, 959 Calculator

Given Input numbers are 358, 917, 40, 959

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

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 358, 917, 40, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 917, 40, 959 is 1.

Therefore, GCD of numbers 358, 917, 40, 959 is 1

Given Input Data is 358, 917, 40, 959

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 917 is 7 x 131

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 959 is 7 x 137

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(358, 917) = 328286

GCD(358, 917) = ( 358 x 917 ) / 328286

GCD(358, 917) = 328286 / 328286

GCD(358, 917) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 358, 917, 40, 959 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 839, 503, 89, 627
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• GCD of 446, 808, 12, 223
• GCD of 748, 544, 19, 131

1. What is the GCD of 358, 917, 40, 959?

GCD of 358, 917, 40, 959 is 1

2. Where do I get the detailed procedure to find GCD of 358, 917, 40, 959?

You can find a detailed procedure to find GCD of 358, 917, 40, 959 on our page.

3. How to find GCD of 358, 917, 40, 959 on a calculator?

You can find the GCD of 358, 917, 40, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.