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GCD of 304, 136, 640, 242 Calculator

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


Online GCD Calculator is useful to find the GCD of 304, 136, 640, 242 quickly. Get the easiest ways to solve the greatest common divisor of 304, 136, 640, 242 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 304, 136, 640, 242 with Factoring?

Given Input numbers are 304, 136, 640, 242

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 242 :

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

1, 2, 11, 22, 121, 242


GCD of numbers is the greatest common divisor

So, the GCD (304, 136, 640, 242) = 2.

Find GCD of 304, 136, 640, 242 using Prime Factorization

Given numbers are 304, 136, 640, 242

The list of prime factors of all numbers are

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 21

Therefore, GCD of 304, 136, 640, 242 is 2.

Steps to Calculate GCD of 304, 136, 640, 242 using LCM Formula

Given numbers are 304, 136, 640, 242

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

Apply this formula for all numbers.

Step1:

LCM(304, 136) = 5168

GCD(304, 136) = ( 304 x 136 ) / 5168

= 304 / 136

= 304


Step2:

LCM(8, 640) = 640

GCD(8, 640) = ( 8 x 640 ) / 640

= 8 / 640

= 8


Step3:

LCM(8, 242) = 968

GCD(8, 242) = ( 8 x 242 ) / 968

= 8 / 242

= 8


So, Greatest Common Divisor of 304, 136, 640, 242 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 304, 136, 640, 242

Given numbers are 304, 136, 640, 242
The greatest common divisor of numbers 304, 136, 640, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 136, 640, 242 is 2.

FAQs on GCD of 304, 136, 640, 242 Calculator

1. What is the GCD of 304, 136, 640, 242?

GCD of given numbers 304, 136, 640, 242 is 2


2. How to calculate the greatest common divisor of 304, 136, 640, 242?

We can find the highest common divisor of 304, 136, 640, 242 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 304, 136, 640, 242 i.e 2.


3. How can I use the GCD of 304, 136, 640, 242Calculator?

Out the numbers 304, 136, 640, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.