GCD of 638, 668, 56, 100 Calculator

Given Input numbers are 638, 668, 56, 100

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

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

Greatest Common Divisior

We found the divisors of 638, 668, 56, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 668, 56, 100 is 2.

Therefore, GCD of numbers 638, 668, 56, 100 is 2

Given Input Data is 638, 668, 56, 100

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 56 is 2 x 2 x 2 x 7

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

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(638, 668) = 213092

GCD(638, 668) = ( 638 x 668 ) / 213092

GCD(638, 668) = 426184 / 213092

GCD(638, 668) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

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

GCD of 638, 668, 56, 100 is 2

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• GCD of 278, 817, 14, 816
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1. What is the GCD of 638, 668, 56, 100?

GCD of 638, 668, 56, 100 is 2

2. Where do I get the detailed procedure to find GCD of 638, 668, 56, 100?

You can find a detailed procedure to find GCD of 638, 668, 56, 100 on our page.

3. How to find GCD of 638, 668, 56, 100 on a calculator?

You can find the GCD of 638, 668, 56, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.