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GCD of 537, 627, 930, 324 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, 627, 930, 324 quickly. Get the easiest ways to solve the greatest common divisor of 537, 627, 930, 324 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 537, 627, 930, 324 with Factoring?

Given Input numbers are 537, 627, 930, 324

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 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324


GCD of numbers is the greatest common divisor

So, the GCD (537, 627, 930, 324) = 3.

Find GCD of 537, 627, 930, 324 using Prime Factorization

Given numbers are 537, 627, 930, 324

The list of prime factors of all numbers are

Prime factors of 537 are 3 x 179

Prime factors of 627 are 3 x 11 x 19

Prime factors of 930 are 2 x 3 x 5 x 31

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 31

Therefore, GCD of 537, 627, 930, 324 is 3.

Steps to Calculate GCD of 537, 627, 930, 324 using LCM Formula

Given numbers are 537, 627, 930, 324

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

Apply this formula for all numbers.

Step1:

LCM(537, 627) = 112233

GCD(537, 627) = ( 537 x 627 ) / 112233

= 537 / 627

= 537


Step2:

LCM(3, 930) = 930

GCD(3, 930) = ( 3 x 930 ) / 930

= 3 / 930

= 3


Step3:

LCM(3, 324) = 324

GCD(3, 324) = ( 3 x 324 ) / 324

= 3 / 324

= 3


So, Greatest Common Divisor of 537, 627, 930, 324 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 537, 627, 930, 324

Given numbers are 537, 627, 930, 324
The greatest common divisor of numbers 537, 627, 930, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 537, 627, 930, 324 is 3.

FAQs on GCD of 537, 627, 930, 324 Calculator

1. What is the GCD of 537, 627, 930, 324?

GCD of given numbers 537, 627, 930, 324 is 3


2. How to calculate the greatest common divisor of 537, 627, 930, 324?

We can find the highest common divisor of 537, 627, 930, 324 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, 627, 930, 324 i.e 3.


3. How can I use the GCD of 537, 627, 930, 324Calculator?

Out the numbers 537, 627, 930, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.