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GCD of 267, 494, 369, 612 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, 494, 369, 612 quickly. Get the easiest ways to solve the greatest common divisor of 267, 494, 369, 612 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 267, 494, 369, 612 with Factoring?

Given Input numbers are 267, 494, 369, 612

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 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612


GCD of numbers is the greatest common divisor

So, the GCD (267, 494, 369, 612) = 1.

Find GCD of 267, 494, 369, 612 using Prime Factorization

Given numbers are 267, 494, 369, 612

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 494 are 2 x 13 x 19

Prime factors of 369 are 3 x 3 x 41

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

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

Steps to Calculate GCD of 267, 494, 369, 612 using LCM Formula

Given numbers are 267, 494, 369, 612

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

Apply this formula for all numbers.

Step1:

LCM(267, 494) = 131898

GCD(267, 494) = ( 267 x 494 ) / 131898

= 267 / 494

= 267


Step2:

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

= 1 / 369

= 1


Step3:

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

= 1 / 612

= 1


So, Greatest Common Divisor of 267, 494, 369, 612 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 267, 494, 369, 612

Given numbers are 267, 494, 369, 612
The greatest common divisor of numbers 267, 494, 369, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 494, 369, 612 is 1.

FAQs on GCD of 267, 494, 369, 612 Calculator

1. What is the GCD of 267, 494, 369, 612?

GCD of given numbers 267, 494, 369, 612 is 1


2. How to calculate the greatest common divisor of 267, 494, 369, 612?

We can find the highest common divisor of 267, 494, 369, 612 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, 494, 369, 612 i.e 1.


3. How can I use the GCD of 267, 494, 369, 612Calculator?

Out the numbers 267, 494, 369, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.