GCD of 956, 916, 186, 313 Calculator

Given Input numbers are 956, 916, 186, 313

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

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 956, 916, 186, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 916, 186, 313 is 1.

Therefore, GCD of numbers 956, 916, 186, 313 is 1

Given Input Data is 956, 916, 186, 313

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

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 313 is 313

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(956, 916) = 218924

GCD(956, 916) = ( 956 x 916 ) / 218924

GCD(956, 916) = 875696 / 218924

GCD(956, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 186

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

LCM(4, 186) = 372

GCD(4, 186) = ( 4 x 186 ) / 372

GCD(4, 186) = 744 / 372

GCD(4, 186) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 313

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

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

GCD(2, 313) = 626 / 626

GCD(2, 313) = 1

GCD of 956, 916, 186, 313 is 1

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• GCD of 715, 245, 407, 590
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1. What is the GCD of 956, 916, 186, 313?

GCD of 956, 916, 186, 313 is 1

2. Where do I get the detailed procedure to find GCD of 956, 916, 186, 313?

You can find a detailed procedure to find GCD of 956, 916, 186, 313 on our page.

3. How to find GCD of 956, 916, 186, 313 on a calculator?

You can find the GCD of 956, 916, 186, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.