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GCD of 272, 676, 488 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, 676, 488 quickly. Get the easiest ways to solve the greatest common divisor of 272, 676, 488 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 272, 676, 488 with Factoring?

Given Input numbers are 272, 676, 488

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 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488


GCD of numbers is the greatest common divisor

So, the GCD (272, 676, 488) = 4.

Find GCD of 272, 676, 488 using Prime Factorization

Given numbers are 272, 676, 488

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 676 are 2 x 2 x 13 x 13

Prime factors of 488 are 2 x 2 x 2 x 61

The highest common occurrence is 22

Therefore, GCD of 272, 676, 488 is 4.

Steps to Calculate GCD of 272, 676, 488 using LCM Formula

Given numbers are 272, 676, 488

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

Apply this formula for all numbers.

Step1:

LCM(272, 676) = 45968

GCD(272, 676) = ( 272 x 676 ) / 45968

= 272 / 676

= 272


Step2:

LCM(4, 488) = 488

GCD(4, 488) = ( 4 x 488 ) / 488

= 4 / 488

= 4


So, Greatest Common Divisor of 272, 676, 488 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 272, 676, 488

Given numbers are 272, 676, 488
The greatest common divisor of numbers 272, 676, 488 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 676, 488 is 4.

FAQs on GCD of 272, 676, 488 Calculator

1. What is the GCD of 272, 676, 488?

GCD of given numbers 272, 676, 488 is 4


2. How to calculate the greatest common divisor of 272, 676, 488?

We can find the highest common divisor of 272, 676, 488 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, 676, 488 i.e 4.


3. How can I use the GCD of 272, 676, 488Calculator?

Out the numbers 272, 676, 488 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.