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GCD of 272, 848, 274, 231 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, 848, 274, 231 quickly. Get the easiest ways to solve the greatest common divisor of 272, 848, 274, 231 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 272, 848, 274, 231 with Factoring?

Given Input numbers are 272, 848, 274, 231

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 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231


GCD of numbers is the greatest common divisor

So, the GCD (272, 848, 274, 231) = 1.

Find GCD of 272, 848, 274, 231 using Prime Factorization

Given numbers are 272, 848, 274, 231

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 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 274 are 2 x 137

Prime factors of 231 are 3 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 272, 848, 274, 231 using LCM Formula

Given numbers are 272, 848, 274, 231

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

Apply this formula for all numbers.

Step1:

LCM(272, 848) = 14416

GCD(272, 848) = ( 272 x 848 ) / 14416

= 272 / 848

= 272


Step2:

LCM(16, 274) = 2192

GCD(16, 274) = ( 16 x 274 ) / 2192

= 16 / 274

= 16


Step3:

LCM(2, 231) = 462

GCD(2, 231) = ( 2 x 231 ) / 462

= 2 / 231

= 2


So, Greatest Common Divisor of 272, 848, 274, 231 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 272, 848, 274, 231

Given numbers are 272, 848, 274, 231
The greatest common divisor of numbers 272, 848, 274, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 848, 274, 231 is 1.

FAQs on GCD of 272, 848, 274, 231 Calculator

1. What is the GCD of 272, 848, 274, 231?

GCD of given numbers 272, 848, 274, 231 is 1


2. How to calculate the greatest common divisor of 272, 848, 274, 231?

We can find the highest common divisor of 272, 848, 274, 231 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, 848, 274, 231 i.e 1.


3. How can I use the GCD of 272, 848, 274, 231Calculator?

Out the numbers 272, 848, 274, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.