GCD of 868, 202, 846, 956 Calculator

Given Input numbers are 868, 202, 846, 956

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

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 956

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

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 868, 202, 846, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 202, 846, 956 is 2.

Therefore, GCD of numbers 868, 202, 846, 956 is 2

Given Input Data is 868, 202, 846, 956

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

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 202 is 2 x 101

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 956 is 2 x 2 x 239

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(868, 202) = 87668

GCD(868, 202) = ( 868 x 202 ) / 87668

GCD(868, 202) = 175336 / 87668

GCD(868, 202) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 846

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

LCM(2, 846) = 846

GCD(2, 846) = ( 2 x 846 ) / 846

GCD(2, 846) = 1692 / 846

GCD(2, 846) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 956

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

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

GCD(2, 956) = 1912 / 956

GCD(2, 956) = 2

GCD of 868, 202, 846, 956 is 2

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1. What is the GCD of 868, 202, 846, 956?

GCD of 868, 202, 846, 956 is 2

2. Where do I get the detailed procedure to find GCD of 868, 202, 846, 956?

You can find a detailed procedure to find GCD of 868, 202, 846, 956 on our page.

3. How to find GCD of 868, 202, 846, 956 on a calculator?

You can find the GCD of 868, 202, 846, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.