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GCD of 476, 357, 272 Calculator

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


Online GCD Calculator is useful to find the GCD of 476, 357, 272 quickly. Get the easiest ways to solve the greatest common divisor of 476, 357, 272 i.e 17 in different methods as follows.

GCD of

How to Find GCD of Numbers 476, 357, 272 with Factoring?

Given Input numbers are 476, 357, 272

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 272 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (476, 357, 272) = 17.

Find GCD of 476, 357, 272 using Prime Factorization

Given numbers are 476, 357, 272

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 357 are 3 x 7 x 17

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

The highest common occurrence is 171

Therefore, GCD of 476, 357, 272 is 17.

Steps to Calculate GCD of 476, 357, 272 using LCM Formula

Given numbers are 476, 357, 272

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

Apply this formula for all numbers.

Step1:

LCM(476, 357) = 1428

GCD(476, 357) = ( 476 x 357 ) / 1428

= 476 / 357

= 476


Step2:

LCM(119, 272) = 1904

GCD(119, 272) = ( 119 x 272 ) / 1904

= 119 / 272

= 119


So, Greatest Common Divisor of 476, 357, 272 is 17

GCD of Numbers Calculation Examples

Greatest Common Divisor of 476, 357, 272

Given numbers are 476, 357, 272
The greatest common divisor of numbers 476, 357, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 357, 272 is 17.

FAQs on GCD of 476, 357, 272 Calculator

1. What is the GCD of 476, 357, 272?

GCD of given numbers 476, 357, 272 is 17


2. How to calculate the greatest common divisor of 476, 357, 272?

We can find the highest common divisor of 476, 357, 272 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 476, 357, 272 i.e 17.


3. How can I use the GCD of 476, 357, 272Calculator?

Out the numbers 476, 357, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.