GCD of 359, 661, 38, 271 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 359, 661, 38, 271 i.e. 1 largest integer that divides all the numbers equally.

GCD of 359, 661, 38, 271 is 1

GCD(359, 661, 38, 271) = 1

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

GCD of

GCD of numbers 359, 661, 38, 271 is 1

GCD(359, 661, 38, 271) = 1

GCD of 359,661,38,271 Calculator

GCDof 359,661,38,271 is 1

Given Input numbers are 359, 661, 38, 271

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 359, 661, 38, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 661, 38, 271 is 1.

Therefore, GCD of numbers 359, 661, 38, 271 is 1

Finding GCD of 359, 661, 38, 271 using Prime Factorization

Given Input Data is 359, 661, 38, 271

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

Prime Factorization of 359 is 359

Prime Factorization of 661 is 661

Prime Factorization of 38 is 2 x 19

Prime Factorization of 271 is 271

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

Finding GCD of 359, 661, 38, 271 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(359, 661) = 237299

GCD(359, 661) = ( 359 x 661 ) / 237299

GCD(359, 661) = 237299 / 237299

GCD(359, 661) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 359, 661, 38, 271 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 359, 661, 38, 271

1. What is the GCD of 359, 661, 38, 271?

GCD of 359, 661, 38, 271 is 1


2. Where do I get the detailed procedure to find GCD of 359, 661, 38, 271?

You can find a detailed procedure to find GCD of 359, 661, 38, 271 on our page.


3. How to find GCD of 359, 661, 38, 271 on a calculator?

You can find the GCD of 359, 661, 38, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.