GCD of 369, 971, 427, 161 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 369, 971, 427, 161 i.e. 1 largest integer that divides all the numbers equally.

GCD of 369, 971, 427, 161 is 1

GCD(369, 971, 427, 161) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 369, 971, 427, 161 is 1

GCD(369, 971, 427, 161) = 1

GCD of 369,971,427,161 Calculator

GCDof 369,971,427,161 is 1

Given Input numbers are 369, 971, 427, 161

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 369, 971, 427, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 971, 427, 161 is 1.

Therefore, GCD of numbers 369, 971, 427, 161 is 1

Finding GCD of 369, 971, 427, 161 using Prime Factorization

Given Input Data is 369, 971, 427, 161

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 971 is 971

Prime Factorization of 427 is 7 x 61

Prime Factorization of 161 is 7 x 23

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

Finding GCD of 369, 971, 427, 161 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(369, 971) = 358299

GCD(369, 971) = ( 369 x 971 ) / 358299

GCD(369, 971) = 358299 / 358299

GCD(369, 971) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 161

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

LCM(1, 161) = 161

GCD(1, 161) = ( 1 x 161 ) / 161

GCD(1, 161) = 161 / 161

GCD(1, 161) = 1

GCD of 369, 971, 427, 161 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 369, 971, 427, 161

1. What is the GCD of 369, 971, 427, 161?

GCD of 369, 971, 427, 161 is 1


2. Where do I get the detailed procedure to find GCD of 369, 971, 427, 161?

You can find a detailed procedure to find GCD of 369, 971, 427, 161 on our page.


3. How to find GCD of 369, 971, 427, 161 on a calculator?

You can find the GCD of 369, 971, 427, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.