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GCD of 272, 484, 340, 470 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, 484, 340, 470 quickly. Get the easiest ways to solve the greatest common divisor of 272, 484, 340, 470 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 272, 484, 340, 470 with Factoring?

Given Input numbers are 272, 484, 340, 470

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 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470


GCD of numbers is the greatest common divisor

So, the GCD (272, 484, 340, 470) = 2.

Find GCD of 272, 484, 340, 470 using Prime Factorization

Given numbers are 272, 484, 340, 470

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 484 are 2 x 2 x 11 x 11

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 470 are 2 x 5 x 47

The highest common occurrence is 21

Therefore, GCD of 272, 484, 340, 470 is 2.

Steps to Calculate GCD of 272, 484, 340, 470 using LCM Formula

Given numbers are 272, 484, 340, 470

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

Apply this formula for all numbers.

Step1:

LCM(272, 484) = 32912

GCD(272, 484) = ( 272 x 484 ) / 32912

= 272 / 484

= 272


Step2:

LCM(4, 340) = 340

GCD(4, 340) = ( 4 x 340 ) / 340

= 4 / 340

= 4


Step3:

LCM(4, 470) = 940

GCD(4, 470) = ( 4 x 470 ) / 940

= 4 / 470

= 4


So, Greatest Common Divisor of 272, 484, 340, 470 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 272, 484, 340, 470

Given numbers are 272, 484, 340, 470
The greatest common divisor of numbers 272, 484, 340, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 484, 340, 470 is 2.

FAQs on GCD of 272, 484, 340, 470 Calculator

1. What is the GCD of 272, 484, 340, 470?

GCD of given numbers 272, 484, 340, 470 is 2


2. How to calculate the greatest common divisor of 272, 484, 340, 470?

We can find the highest common divisor of 272, 484, 340, 470 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, 484, 340, 470 i.e 2.


3. How can I use the GCD of 272, 484, 340, 470Calculator?

Out the numbers 272, 484, 340, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.