GCD of 626, 338, 100, 920 Calculator

Given Input numbers are 626, 338, 100, 920

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 626, 338, 100, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 626, 338, 100, 920 is 2.

Therefore, GCD of numbers 626, 338, 100, 920 is 2

Given Input Data is 626, 338, 100, 920

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

Prime Factorization of 626 is 2 x 313

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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, 338) = 105794

GCD(626, 338) = ( 626 x 338 ) / 105794

GCD(626, 338) = 211588 / 105794

GCD(626, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 920

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

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

GCD(2, 920) = 1840 / 920

GCD(2, 920) = 2

GCD of 626, 338, 100, 920 is 2

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• GCD of 896, 602, 494, 353
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1. What is the GCD of 626, 338, 100, 920?

GCD of 626, 338, 100, 920 is 2

2. Where do I get the detailed procedure to find GCD of 626, 338, 100, 920?

You can find a detailed procedure to find GCD of 626, 338, 100, 920 on our page.

3. How to find GCD of 626, 338, 100, 920 on a calculator?

You can find the GCD of 626, 338, 100, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.