GCD of 626, 254, 748, 902 Calculator

Given Input numbers are 626, 254, 748, 902

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

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 626, 254, 748, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 626, 254, 748, 902 is 2.

Therefore, GCD of numbers 626, 254, 748, 902 is 2

Given Input Data is 626, 254, 748, 902

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

Prime Factorization of 626 is 2 x 313

Prime Factorization of 254 is 2 x 127

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 902 is 2 x 11 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(626, 254) = 79502

GCD(626, 254) = ( 626 x 254 ) / 79502

GCD(626, 254) = 159004 / 79502

GCD(626, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 902

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

LCM(2, 902) = 902

GCD(2, 902) = ( 2 x 902 ) / 902

GCD(2, 902) = 1804 / 902

GCD(2, 902) = 2

GCD of 626, 254, 748, 902 is 2

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1. What is the GCD of 626, 254, 748, 902?

GCD of 626, 254, 748, 902 is 2

2. Where do I get the detailed procedure to find GCD of 626, 254, 748, 902?

You can find a detailed procedure to find GCD of 626, 254, 748, 902 on our page.

3. How to find GCD of 626, 254, 748, 902 on a calculator?

You can find the GCD of 626, 254, 748, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.