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GCD of 130, 940, 452, 638 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 130, 940, 452, 638 quickly. Get the easiest ways to solve the greatest common divisor of 130, 940, 452, 638 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 130, 940, 452, 638 with Factoring?

Given Input numbers are 130, 940, 452, 638

In the factoring method, we have to find the divisors of all numbers

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

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


GCD of numbers is the greatest common divisor

So, the GCD (130, 940, 452, 638) = 2.

Find GCD of 130, 940, 452, 638 using Prime Factorization

Given numbers are 130, 940, 452, 638

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 452 are 2 x 2 x 113

Prime factors of 638 are 2 x 11 x 29

The highest common occurrence is 21

Therefore, GCD of 130, 940, 452, 638 is 2.

Steps to Calculate GCD of 130, 940, 452, 638 using LCM Formula

Given numbers are 130, 940, 452, 638

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(130, 940) = 12220

GCD(130, 940) = ( 130 x 940 ) / 12220

= 130 / 940

= 130


Step2:

LCM(10, 452) = 2260

GCD(10, 452) = ( 10 x 452 ) / 2260

= 10 / 452

= 10


Step3:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2


So, Greatest Common Divisor of 130, 940, 452, 638 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 130, 940, 452, 638

Given numbers are 130, 940, 452, 638
The greatest common divisor of numbers 130, 940, 452, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 940, 452, 638 is 2.

FAQs on GCD of 130, 940, 452, 638 Calculator

1. What is the GCD of 130, 940, 452, 638?

GCD of given numbers 130, 940, 452, 638 is 2


2. How to calculate the greatest common divisor of 130, 940, 452, 638?

We can find the highest common divisor of 130, 940, 452, 638 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 130, 940, 452, 638 i.e 2.


3. How can I use the GCD of 130, 940, 452, 638Calculator?

Out the numbers 130, 940, 452, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.