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GCD of 918, 318, 272, 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 918, 318, 272, 272 quickly. Get the easiest ways to solve the greatest common divisor of 918, 318, 272, 272 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 918, 318, 272, 272 with Factoring?

Given Input numbers are 918, 318, 272, 272

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

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 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 (918, 318, 272, 272) = 2.

Find GCD of 918, 318, 272, 272 using Prime Factorization

Given numbers are 918, 318, 272, 272

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 318 are 2 x 3 x 53

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

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

The highest common occurrence is 21

Therefore, GCD of 918, 318, 272, 272 is 2.

Steps to Calculate GCD of 918, 318, 272, 272 using LCM Formula

Given numbers are 918, 318, 272, 272

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

Apply this formula for all numbers.

Step1:

LCM(918, 318) = 48654

GCD(918, 318) = ( 918 x 318 ) / 48654

= 918 / 318

= 918


Step2:

LCM(6, 272) = 816

GCD(6, 272) = ( 6 x 272 ) / 816

= 6 / 272

= 6


Step3:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2


So, Greatest Common Divisor of 918, 318, 272, 272 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 918, 318, 272, 272

Given numbers are 918, 318, 272, 272
The greatest common divisor of numbers 918, 318, 272, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 318, 272, 272 is 2.

FAQs on GCD of 918, 318, 272, 272 Calculator

1. What is the GCD of 918, 318, 272, 272?

GCD of given numbers 918, 318, 272, 272 is 2


2. How to calculate the greatest common divisor of 918, 318, 272, 272?

We can find the highest common divisor of 918, 318, 272, 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 918, 318, 272, 272 i.e 2.


3. How can I use the GCD of 918, 318, 272, 272Calculator?

Out the numbers 918, 318, 272, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.