GCD of 868, 636, 28, 946 Calculator

Given Input numbers are 868, 636, 28, 946

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 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 868, 636, 28, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 636, 28, 946 is 2.

Therefore, GCD of numbers 868, 636, 28, 946 is 2

Given Input Data is 868, 636, 28, 946

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 636 is 2 x 2 x 3 x 53

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 946 is 2 x 11 x 43

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, 636) = 138012

GCD(868, 636) = ( 868 x 636 ) / 138012

GCD(868, 636) = 552048 / 138012

GCD(868, 636) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 28

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

LCM(4, 28) = 28

GCD(4, 28) = ( 4 x 28 ) / 28

GCD(4, 28) = 112 / 28

GCD(4, 28) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 946

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

LCM(4, 946) = 1892

GCD(4, 946) = ( 4 x 946 ) / 1892

GCD(4, 946) = 3784 / 1892

GCD(4, 946) = 2

GCD of 868, 636, 28, 946 is 2

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1. What is the GCD of 868, 636, 28, 946?

GCD of 868, 636, 28, 946 is 2

2. Where do I get the detailed procedure to find GCD of 868, 636, 28, 946?

You can find a detailed procedure to find GCD of 868, 636, 28, 946 on our page.

3. How to find GCD of 868, 636, 28, 946 on a calculator?

You can find the GCD of 868, 636, 28, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.