GCD of 956, 208, 362, 646 Calculator

Given Input numbers are 956, 208, 362, 646

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 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Greatest Common Divisior

We found the divisors of 956, 208, 362, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 208, 362, 646 is 2.

Therefore, GCD of numbers 956, 208, 362, 646 is 2

Given Input Data is 956, 208, 362, 646

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 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 362 is 2 x 181

Prime Factorization of 646 is 2 x 17 x 19

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, 208) = 49712

GCD(956, 208) = ( 956 x 208 ) / 49712

GCD(956, 208) = 198848 / 49712

GCD(956, 208) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 362

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

LCM(4, 362) = 724

GCD(4, 362) = ( 4 x 362 ) / 724

GCD(4, 362) = 1448 / 724

GCD(4, 362) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 646

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

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

GCD(2, 646) = 1292 / 646

GCD(2, 646) = 2

GCD of 956, 208, 362, 646 is 2

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1. What is the GCD of 956, 208, 362, 646?

GCD of 956, 208, 362, 646 is 2

2. Where do I get the detailed procedure to find GCD of 956, 208, 362, 646?

You can find a detailed procedure to find GCD of 956, 208, 362, 646 on our page.

3. How to find GCD of 956, 208, 362, 646 on a calculator?

You can find the GCD of 956, 208, 362, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.