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GCD of 272, 743, 590, 113 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, 743, 590, 113 quickly. Get the easiest ways to solve the greatest common divisor of 272, 743, 590, 113 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 272, 743, 590, 113 with Factoring?

Given Input numbers are 272, 743, 590, 113

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 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113


GCD of numbers is the greatest common divisor

So, the GCD (272, 743, 590, 113) = 1.

Find GCD of 272, 743, 590, 113 using Prime Factorization

Given numbers are 272, 743, 590, 113

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 743 are 743

Prime factors of 590 are 2 x 5 x 59

Prime factors of 113 are 113

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

Steps to Calculate GCD of 272, 743, 590, 113 using LCM Formula

Given numbers are 272, 743, 590, 113

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

Apply this formula for all numbers.

Step1:

LCM(272, 743) = 202096

GCD(272, 743) = ( 272 x 743 ) / 202096

= 272 / 743

= 272


Step2:

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

= 1 / 590

= 1


Step3:

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

= 1 / 113

= 1


So, Greatest Common Divisor of 272, 743, 590, 113 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 272, 743, 590, 113

Given numbers are 272, 743, 590, 113
The greatest common divisor of numbers 272, 743, 590, 113 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 743, 590, 113 is 1.

FAQs on GCD of 272, 743, 590, 113 Calculator

1. What is the GCD of 272, 743, 590, 113?

GCD of given numbers 272, 743, 590, 113 is 1


2. How to calculate the greatest common divisor of 272, 743, 590, 113?

We can find the highest common divisor of 272, 743, 590, 113 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, 743, 590, 113 i.e 1.


3. How can I use the GCD of 272, 743, 590, 113Calculator?

Out the numbers 272, 743, 590, 113 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.