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GCD of 242, 130, 268, 116 Calculator

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


Online GCD Calculator is useful to find the GCD of 242, 130, 268, 116 quickly. Get the easiest ways to solve the greatest common divisor of 242, 130, 268, 116 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 242, 130, 268, 116 with Factoring?

Given Input numbers are 242, 130, 268, 116

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

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 130 :

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

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

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116


GCD of numbers is the greatest common divisor

So, the GCD (242, 130, 268, 116) = 2.

Find GCD of 242, 130, 268, 116 using Prime Factorization

Given numbers are 242, 130, 268, 116

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 130 are 2 x 5 x 13

Prime factors of 268 are 2 x 2 x 67

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 21

Therefore, GCD of 242, 130, 268, 116 is 2.

Steps to Calculate GCD of 242, 130, 268, 116 using LCM Formula

Given numbers are 242, 130, 268, 116

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

Apply this formula for all numbers.

Step1:

LCM(242, 130) = 15730

GCD(242, 130) = ( 242 x 130 ) / 15730

= 242 / 130

= 242


Step2:

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

= 2 / 268

= 2


Step3:

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

= 2 / 116

= 2


So, Greatest Common Divisor of 242, 130, 268, 116 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 242, 130, 268, 116

Given numbers are 242, 130, 268, 116
The greatest common divisor of numbers 242, 130, 268, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 130, 268, 116 is 2.

FAQs on GCD of 242, 130, 268, 116 Calculator

1. What is the GCD of 242, 130, 268, 116?

GCD of given numbers 242, 130, 268, 116 is 2


2. How to calculate the greatest common divisor of 242, 130, 268, 116?

We can find the highest common divisor of 242, 130, 268, 116 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 242, 130, 268, 116 i.e 2.


3. How can I use the GCD of 242, 130, 268, 116Calculator?

Out the numbers 242, 130, 268, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.