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GCD of 272, 184, 458, 136 Calculator

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


Online GCD Calculator is useful to find the GCD of 272, 184, 458, 136 quickly. Get the easiest ways to solve the greatest common divisor of 272, 184, 458, 136 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 272, 184, 458, 136 with Factoring?

Given Input numbers are 272, 184, 458, 136

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 136 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (272, 184, 458, 136) = 2.

Find GCD of 272, 184, 458, 136 using Prime Factorization

Given numbers are 272, 184, 458, 136

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 184 are 2 x 2 x 2 x 23

Prime factors of 458 are 2 x 229

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

The highest common occurrence is 21

Therefore, GCD of 272, 184, 458, 136 is 2.

Steps to Calculate GCD of 272, 184, 458, 136 using LCM Formula

Given numbers are 272, 184, 458, 136

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

Apply this formula for all numbers.

Step1:

LCM(272, 184) = 6256

GCD(272, 184) = ( 272 x 184 ) / 6256

= 272 / 184

= 272


Step2:

LCM(8, 458) = 1832

GCD(8, 458) = ( 8 x 458 ) / 1832

= 8 / 458

= 8


Step3:

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

= 2 / 136

= 2


So, Greatest Common Divisor of 272, 184, 458, 136 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 272, 184, 458, 136

Given numbers are 272, 184, 458, 136
The greatest common divisor of numbers 272, 184, 458, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 184, 458, 136 is 2.

FAQs on GCD of 272, 184, 458, 136 Calculator

1. What is the GCD of 272, 184, 458, 136?

GCD of given numbers 272, 184, 458, 136 is 2


2. How to calculate the greatest common divisor of 272, 184, 458, 136?

We can find the highest common divisor of 272, 184, 458, 136 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 272, 184, 458, 136 i.e 2.


3. How can I use the GCD of 272, 184, 458, 136Calculator?

Out the numbers 272, 184, 458, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.