GCD of 874, 900, 634, 656 Calculator

Given Input numbers are 874, 900, 634, 656

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 874, 900, 634, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 900, 634, 656 is 2.

Therefore, GCD of numbers 874, 900, 634, 656 is 2

Given Input Data is 874, 900, 634, 656

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 634 is 2 x 317

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(874, 900) = 393300

GCD(874, 900) = ( 874 x 900 ) / 393300

GCD(874, 900) = 786600 / 393300

GCD(874, 900) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 634

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

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

GCD(2, 634) = 1268 / 634

GCD(2, 634) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 656

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

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

GCD(2, 656) = 1312 / 656

GCD(2, 656) = 2

GCD of 874, 900, 634, 656 is 2

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1. What is the GCD of 874, 900, 634, 656?

GCD of 874, 900, 634, 656 is 2

2. Where do I get the detailed procedure to find GCD of 874, 900, 634, 656?

You can find a detailed procedure to find GCD of 874, 900, 634, 656 on our page.

3. How to find GCD of 874, 900, 634, 656 on a calculator?

You can find the GCD of 874, 900, 634, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.