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GCD of 118, 132, 198, 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 118, 132, 198, 638 quickly. Get the easiest ways to solve the greatest common divisor of 118, 132, 198, 638 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 118, 132, 198, 638 with Factoring?

Given Input numbers are 118, 132, 198, 638

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

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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 (118, 132, 198, 638) = 2.

Find GCD of 118, 132, 198, 638 using Prime Factorization

Given numbers are 118, 132, 198, 638

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 638 are 2 x 11 x 29

The highest common occurrence is 21

Therefore, GCD of 118, 132, 198, 638 is 2.

Steps to Calculate GCD of 118, 132, 198, 638 using LCM Formula

Given numbers are 118, 132, 198, 638

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

Apply this formula for all numbers.

Step1:

LCM(118, 132) = 7788

GCD(118, 132) = ( 118 x 132 ) / 7788

= 118 / 132

= 118


Step2:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2


Step3:

LCM(2, 638) = 638

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

= 2 / 638

= 2


So, Greatest Common Divisor of 118, 132, 198, 638 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 118, 132, 198, 638

Given numbers are 118, 132, 198, 638
The greatest common divisor of numbers 118, 132, 198, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 132, 198, 638 is 2.

FAQs on GCD of 118, 132, 198, 638 Calculator

1. What is the GCD of 118, 132, 198, 638?

GCD of given numbers 118, 132, 198, 638 is 2


2. How to calculate the greatest common divisor of 118, 132, 198, 638?

We can find the highest common divisor of 118, 132, 198, 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 118, 132, 198, 638 i.e 2.


3. How can I use the GCD of 118, 132, 198, 638Calculator?

Out the numbers 118, 132, 198, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.