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GCD of 272, 746, 339, 235 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, 746, 339, 235 quickly. Get the easiest ways to solve the greatest common divisor of 272, 746, 339, 235 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 272, 746, 339, 235 with Factoring?

Given Input numbers are 272, 746, 339, 235

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 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235


GCD of numbers is the greatest common divisor

So, the GCD (272, 746, 339, 235) = 1.

Find GCD of 272, 746, 339, 235 using Prime Factorization

Given numbers are 272, 746, 339, 235

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 746 are 2 x 373

Prime factors of 339 are 3 x 113

Prime factors of 235 are 5 x 47

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

Steps to Calculate GCD of 272, 746, 339, 235 using LCM Formula

Given numbers are 272, 746, 339, 235

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

Apply this formula for all numbers.

Step1:

LCM(272, 746) = 101456

GCD(272, 746) = ( 272 x 746 ) / 101456

= 272 / 746

= 272


Step2:

LCM(2, 339) = 678

GCD(2, 339) = ( 2 x 339 ) / 678

= 2 / 339

= 2


Step3:

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

= 1 / 235

= 1


So, Greatest Common Divisor of 272, 746, 339, 235 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 272, 746, 339, 235

Given numbers are 272, 746, 339, 235
The greatest common divisor of numbers 272, 746, 339, 235 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 746, 339, 235 is 1.

FAQs on GCD of 272, 746, 339, 235 Calculator

1. What is the GCD of 272, 746, 339, 235?

GCD of given numbers 272, 746, 339, 235 is 1


2. How to calculate the greatest common divisor of 272, 746, 339, 235?

We can find the highest common divisor of 272, 746, 339, 235 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, 746, 339, 235 i.e 1.


3. How can I use the GCD of 272, 746, 339, 235Calculator?

Out the numbers 272, 746, 339, 235 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.