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GCD of 491, 961, 405, 267 Calculator

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


Online GCD Calculator is useful to find the GCD of 491, 961, 405, 267 quickly. Get the easiest ways to solve the greatest common divisor of 491, 961, 405, 267 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 491, 961, 405, 267 with Factoring?

Given Input numbers are 491, 961, 405, 267

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

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 267 :

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

1, 3, 89, 267


GCD of numbers is the greatest common divisor

So, the GCD (491, 961, 405, 267) = 1.

Find GCD of 491, 961, 405, 267 using Prime Factorization

Given numbers are 491, 961, 405, 267

The list of prime factors of all numbers are

Prime factors of 491 are 491

Prime factors of 961 are 31 x 31

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 267 are 3 x 89

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

Steps to Calculate GCD of 491, 961, 405, 267 using LCM Formula

Given numbers are 491, 961, 405, 267

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

Apply this formula for all numbers.

Step1:

LCM(491, 961) = 471851

GCD(491, 961) = ( 491 x 961 ) / 471851

= 491 / 961

= 491


Step2:

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

= 1 / 405

= 1


Step3:

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

= 1 / 267

= 1


So, Greatest Common Divisor of 491, 961, 405, 267 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 491, 961, 405, 267

Given numbers are 491, 961, 405, 267
The greatest common divisor of numbers 491, 961, 405, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 491, 961, 405, 267 is 1.

FAQs on GCD of 491, 961, 405, 267 Calculator

1. What is the GCD of 491, 961, 405, 267?

GCD of given numbers 491, 961, 405, 267 is 1


2. How to calculate the greatest common divisor of 491, 961, 405, 267?

We can find the highest common divisor of 491, 961, 405, 267 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 491, 961, 405, 267 i.e 1.


3. How can I use the GCD of 491, 961, 405, 267Calculator?

Out the numbers 491, 961, 405, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.