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GCD of 927, 273, 942, 684 Calculator

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


Online GCD Calculator is useful to find the GCD of 927, 273, 942, 684 quickly. Get the easiest ways to solve the greatest common divisor of 927, 273, 942, 684 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 927, 273, 942, 684 with Factoring?

Given Input numbers are 927, 273, 942, 684

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

Divisors of 927 :

The positive integer divisors of 927 that completely divides 927 are.

1, 3, 9, 103, 309, 927

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684


GCD of numbers is the greatest common divisor

So, the GCD (927, 273, 942, 684) = 3.

Find GCD of 927, 273, 942, 684 using Prime Factorization

Given numbers are 927, 273, 942, 684

The list of prime factors of all numbers are

Prime factors of 927 are 3 x 3 x 103

Prime factors of 273 are 3 x 7 x 13

Prime factors of 942 are 2 x 3 x 157

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 31

Therefore, GCD of 927, 273, 942, 684 is 3.

Steps to Calculate GCD of 927, 273, 942, 684 using LCM Formula

Given numbers are 927, 273, 942, 684

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

Apply this formula for all numbers.

Step1:

LCM(927, 273) = 84357

GCD(927, 273) = ( 927 x 273 ) / 84357

= 927 / 273

= 927


Step2:

LCM(3, 942) = 942

GCD(3, 942) = ( 3 x 942 ) / 942

= 3 / 942

= 3


Step3:

LCM(3, 684) = 684

GCD(3, 684) = ( 3 x 684 ) / 684

= 3 / 684

= 3


So, Greatest Common Divisor of 927, 273, 942, 684 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 927, 273, 942, 684

Given numbers are 927, 273, 942, 684
The greatest common divisor of numbers 927, 273, 942, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 927, 273, 942, 684 is 3.

FAQs on GCD of 927, 273, 942, 684 Calculator

1. What is the GCD of 927, 273, 942, 684?

GCD of given numbers 927, 273, 942, 684 is 3


2. How to calculate the greatest common divisor of 927, 273, 942, 684?

We can find the highest common divisor of 927, 273, 942, 684 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 927, 273, 942, 684 i.e 3.


3. How can I use the GCD of 927, 273, 942, 684Calculator?

Out the numbers 927, 273, 942, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.