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GCD of 598, 272, 516, 427 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 598, 272, 516, 427 quickly. Get the easiest ways to solve the greatest common divisor of 598, 272, 516, 427 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 598, 272, 516, 427 with Factoring?

Given Input numbers are 598, 272, 516, 427

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

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

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 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427


GCD of numbers is the greatest common divisor

So, the GCD (598, 272, 516, 427) = 1.

Find GCD of 598, 272, 516, 427 using Prime Factorization

Given numbers are 598, 272, 516, 427

The list of prime factors of all numbers are

Prime factors of 598 are 2 x 13 x 23

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

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 427 are 7 x 61

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

Steps to Calculate GCD of 598, 272, 516, 427 using LCM Formula

Given numbers are 598, 272, 516, 427

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

Apply this formula for all numbers.

Step1:

LCM(598, 272) = 81328

GCD(598, 272) = ( 598 x 272 ) / 81328

= 598 / 272

= 598


Step2:

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

= 2 / 516

= 2


Step3:

LCM(2, 427) = 854

GCD(2, 427) = ( 2 x 427 ) / 854

= 2 / 427

= 2


So, Greatest Common Divisor of 598, 272, 516, 427 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 598, 272, 516, 427

Given numbers are 598, 272, 516, 427
The greatest common divisor of numbers 598, 272, 516, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 272, 516, 427 is 1.

FAQs on GCD of 598, 272, 516, 427 Calculator

1. What is the GCD of 598, 272, 516, 427?

GCD of given numbers 598, 272, 516, 427 is 1


2. How to calculate the greatest common divisor of 598, 272, 516, 427?

We can find the highest common divisor of 598, 272, 516, 427 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 598, 272, 516, 427 i.e 1.


3. How can I use the GCD of 598, 272, 516, 427Calculator?

Out the numbers 598, 272, 516, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.