GCD of 628, 748, 113, 380 Calculator

Given Input numbers are 628, 748, 113, 380

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

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 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 628, 748, 113, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 748, 113, 380 is 1.

Therefore, GCD of numbers 628, 748, 113, 380 is 1

Given Input Data is 628, 748, 113, 380

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

Prime Factorization of 628 is 2 x 2 x 157

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

Prime Factorization of 113 is 113

Prime Factorization of 380 is 2 x 2 x 5 x 19

The above numbers do not have any common prime factor. So GCD is 1

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(628, 748) = 117436

GCD(628, 748) = ( 628 x 748 ) / 117436

GCD(628, 748) = 469744 / 117436

GCD(628, 748) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 113

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

LCM(4, 113) = 452

GCD(4, 113) = ( 4 x 113 ) / 452

GCD(4, 113) = 452 / 452

GCD(4, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 628, 748, 113, 380 is 1

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• GCD of 871, 725, 908, 864
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1. What is the GCD of 628, 748, 113, 380?

GCD of 628, 748, 113, 380 is 1

2. Where do I get the detailed procedure to find GCD of 628, 748, 113, 380?

You can find a detailed procedure to find GCD of 628, 748, 113, 380 on our page.

3. How to find GCD of 628, 748, 113, 380 on a calculator?

You can find the GCD of 628, 748, 113, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.