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GCD of 537, 981, 306, 355 Calculator

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


Online GCD Calculator is useful to find the GCD of 537, 981, 306, 355 quickly. Get the easiest ways to solve the greatest common divisor of 537, 981, 306, 355 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 537, 981, 306, 355 with Factoring?

Given Input numbers are 537, 981, 306, 355

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

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355


GCD of numbers is the greatest common divisor

So, the GCD (537, 981, 306, 355) = 1.

Find GCD of 537, 981, 306, 355 using Prime Factorization

Given numbers are 537, 981, 306, 355

The list of prime factors of all numbers are

Prime factors of 537 are 3 x 179

Prime factors of 981 are 3 x 3 x 109

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 355 are 5 x 71

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

Steps to Calculate GCD of 537, 981, 306, 355 using LCM Formula

Given numbers are 537, 981, 306, 355

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

Apply this formula for all numbers.

Step1:

LCM(537, 981) = 175599

GCD(537, 981) = ( 537 x 981 ) / 175599

= 537 / 981

= 537


Step2:

LCM(3, 306) = 306

GCD(3, 306) = ( 3 x 306 ) / 306

= 3 / 306

= 3


Step3:

LCM(3, 355) = 1065

GCD(3, 355) = ( 3 x 355 ) / 1065

= 3 / 355

= 3


So, Greatest Common Divisor of 537, 981, 306, 355 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 537, 981, 306, 355

Given numbers are 537, 981, 306, 355
The greatest common divisor of numbers 537, 981, 306, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 537, 981, 306, 355 is 1.

FAQs on GCD of 537, 981, 306, 355 Calculator

1. What is the GCD of 537, 981, 306, 355?

GCD of given numbers 537, 981, 306, 355 is 1


2. How to calculate the greatest common divisor of 537, 981, 306, 355?

We can find the highest common divisor of 537, 981, 306, 355 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 537, 981, 306, 355 i.e 1.


3. How can I use the GCD of 537, 981, 306, 355Calculator?

Out the numbers 537, 981, 306, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.