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GCD of 912, 267, 93, 108 Calculator

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


Online GCD Calculator is useful to find the GCD of 912, 267, 93, 108 quickly. Get the easiest ways to solve the greatest common divisor of 912, 267, 93, 108 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 912, 267, 93, 108 with Factoring?

Given Input numbers are 912, 267, 93, 108

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

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 93 :

The positive integer divisors of 93 that completely divides 93 are.

1, 3, 31, 93

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

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


GCD of numbers is the greatest common divisor

So, the GCD (912, 267, 93, 108) = 3.

Find GCD of 912, 267, 93, 108 using Prime Factorization

Given numbers are 912, 267, 93, 108

The list of prime factors of all numbers are

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 267 are 3 x 89

Prime factors of 93 are 3 x 31

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 31

Therefore, GCD of 912, 267, 93, 108 is 3.

Steps to Calculate GCD of 912, 267, 93, 108 using LCM Formula

Given numbers are 912, 267, 93, 108

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

Apply this formula for all numbers.

Step1:

LCM(912, 267) = 81168

GCD(912, 267) = ( 912 x 267 ) / 81168

= 912 / 267

= 912


Step2:

LCM(3, 93) = 93

GCD(3, 93) = ( 3 x 93 ) / 93

= 3 / 93

= 3


Step3:

LCM(3, 108) = 108

GCD(3, 108) = ( 3 x 108 ) / 108

= 3 / 108

= 3


So, Greatest Common Divisor of 912, 267, 93, 108 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 912, 267, 93, 108

Given numbers are 912, 267, 93, 108
The greatest common divisor of numbers 912, 267, 93, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 267, 93, 108 is 3.

FAQs on GCD of 912, 267, 93, 108 Calculator

1. What is the GCD of 912, 267, 93, 108?

GCD of given numbers 912, 267, 93, 108 is 3


2. How to calculate the greatest common divisor of 912, 267, 93, 108?

We can find the highest common divisor of 912, 267, 93, 108 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 912, 267, 93, 108 i.e 3.


3. How can I use the GCD of 912, 267, 93, 108Calculator?

Out the numbers 912, 267, 93, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.