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GCD of 267, 291, 423, 912 Calculator

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


Online GCD Calculator is useful to find the GCD of 267, 291, 423, 912 quickly. Get the easiest ways to solve the greatest common divisor of 267, 291, 423, 912 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 267, 291, 423, 912 with Factoring?

Given Input numbers are 267, 291, 423, 912

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

Divisors of 267 :

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

1, 3, 89, 267

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

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


GCD of numbers is the greatest common divisor

So, the GCD (267, 291, 423, 912) = 3.

Find GCD of 267, 291, 423, 912 using Prime Factorization

Given numbers are 267, 291, 423, 912

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 291 are 3 x 97

Prime factors of 423 are 3 x 3 x 47

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

The highest common occurrence is 31

Therefore, GCD of 267, 291, 423, 912 is 3.

Steps to Calculate GCD of 267, 291, 423, 912 using LCM Formula

Given numbers are 267, 291, 423, 912

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

Apply this formula for all numbers.

Step1:

LCM(267, 291) = 25899

GCD(267, 291) = ( 267 x 291 ) / 25899

= 267 / 291

= 267


Step2:

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

= 3 / 423

= 3


Step3:

LCM(3, 912) = 912

GCD(3, 912) = ( 3 x 912 ) / 912

= 3 / 912

= 3


So, Greatest Common Divisor of 267, 291, 423, 912 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 267, 291, 423, 912

Given numbers are 267, 291, 423, 912
The greatest common divisor of numbers 267, 291, 423, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 291, 423, 912 is 3.

FAQs on GCD of 267, 291, 423, 912 Calculator

1. What is the GCD of 267, 291, 423, 912?

GCD of given numbers 267, 291, 423, 912 is 3


2. How to calculate the greatest common divisor of 267, 291, 423, 912?

We can find the highest common divisor of 267, 291, 423, 912 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 267, 291, 423, 912 i.e 3.


3. How can I use the GCD of 267, 291, 423, 912Calculator?

Out the numbers 267, 291, 423, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.