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GCD of 267, 305, 346, 492 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, 305, 346, 492 quickly. Get the easiest ways to solve the greatest common divisor of 267, 305, 346, 492 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 267, 305, 346, 492 with Factoring?

Given Input numbers are 267, 305, 346, 492

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 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492


GCD of numbers is the greatest common divisor

So, the GCD (267, 305, 346, 492) = 1.

Find GCD of 267, 305, 346, 492 using Prime Factorization

Given numbers are 267, 305, 346, 492

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 305 are 5 x 61

Prime factors of 346 are 2 x 173

Prime factors of 492 are 2 x 2 x 3 x 41

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

Steps to Calculate GCD of 267, 305, 346, 492 using LCM Formula

Given numbers are 267, 305, 346, 492

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

Apply this formula for all numbers.

Step1:

LCM(267, 305) = 81435

GCD(267, 305) = ( 267 x 305 ) / 81435

= 267 / 305

= 267


Step2:

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

= 1 / 346

= 1


Step3:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1


So, Greatest Common Divisor of 267, 305, 346, 492 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 267, 305, 346, 492

Given numbers are 267, 305, 346, 492
The greatest common divisor of numbers 267, 305, 346, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 305, 346, 492 is 1.

FAQs on GCD of 267, 305, 346, 492 Calculator

1. What is the GCD of 267, 305, 346, 492?

GCD of given numbers 267, 305, 346, 492 is 1


2. How to calculate the greatest common divisor of 267, 305, 346, 492?

We can find the highest common divisor of 267, 305, 346, 492 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, 305, 346, 492 i.e 1.


3. How can I use the GCD of 267, 305, 346, 492Calculator?

Out the numbers 267, 305, 346, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.