GCD of 956, 798, 338, 316 Calculator

Given Input numbers are 956, 798, 338, 316

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 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 956, 798, 338, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 798, 338, 316 is 2.

Therefore, GCD of numbers 956, 798, 338, 316 is 2

Given Input Data is 956, 798, 338, 316

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 798 is 2 x 3 x 7 x 19

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 316 is 2 x 2 x 79

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 798) = 381444

GCD(956, 798) = ( 956 x 798 ) / 381444

GCD(956, 798) = 762888 / 381444

GCD(956, 798) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 338

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

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

GCD(2, 338) = 676 / 338

GCD(2, 338) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 316

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

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

GCD(2, 316) = 632 / 316

GCD(2, 316) = 2

GCD of 956, 798, 338, 316 is 2

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1. What is the GCD of 956, 798, 338, 316?

GCD of 956, 798, 338, 316 is 2

2. Where do I get the detailed procedure to find GCD of 956, 798, 338, 316?

You can find a detailed procedure to find GCD of 956, 798, 338, 316 on our page.

3. How to find GCD of 956, 798, 338, 316 on a calculator?

You can find the GCD of 956, 798, 338, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.