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GCD of 272, 410, 474, 836 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, 410, 474, 836 quickly. Get the easiest ways to solve the greatest common divisor of 272, 410, 474, 836 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 272, 410, 474, 836 with Factoring?

Given Input numbers are 272, 410, 474, 836

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 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836


GCD of numbers is the greatest common divisor

So, the GCD (272, 410, 474, 836) = 2.

Find GCD of 272, 410, 474, 836 using Prime Factorization

Given numbers are 272, 410, 474, 836

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 410 are 2 x 5 x 41

Prime factors of 474 are 2 x 3 x 79

Prime factors of 836 are 2 x 2 x 11 x 19

The highest common occurrence is 21

Therefore, GCD of 272, 410, 474, 836 is 2.

Steps to Calculate GCD of 272, 410, 474, 836 using LCM Formula

Given numbers are 272, 410, 474, 836

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

Apply this formula for all numbers.

Step1:

LCM(272, 410) = 55760

GCD(272, 410) = ( 272 x 410 ) / 55760

= 272 / 410

= 272


Step2:

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

= 2 / 474

= 2


Step3:

LCM(2, 836) = 836

GCD(2, 836) = ( 2 x 836 ) / 836

= 2 / 836

= 2


So, Greatest Common Divisor of 272, 410, 474, 836 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 272, 410, 474, 836

Given numbers are 272, 410, 474, 836
The greatest common divisor of numbers 272, 410, 474, 836 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 410, 474, 836 is 2.

FAQs on GCD of 272, 410, 474, 836 Calculator

1. What is the GCD of 272, 410, 474, 836?

GCD of given numbers 272, 410, 474, 836 is 2


2. How to calculate the greatest common divisor of 272, 410, 474, 836?

We can find the highest common divisor of 272, 410, 474, 836 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, 410, 474, 836 i.e 2.


3. How can I use the GCD of 272, 410, 474, 836Calculator?

Out the numbers 272, 410, 474, 836 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.