GCD of 901, 362, 31 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 901, 362, 31 i.e. 1 largest integer that divides all the numbers equally.

GCD of 901, 362, 31 is 1

GCD(901, 362, 31) = 1

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

GCD of

GCD of numbers 901, 362, 31 is 1

GCD(901, 362, 31) = 1

GCD of 901,362,31 Calculator

GCDof 901,362,31 is 1

Given Input numbers are 901, 362, 31

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

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Greatest Common Divisior

We found the divisors of 901, 362, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 362, 31 is 1.

Therefore, GCD of numbers 901, 362, 31 is 1

Finding GCD of 901, 362, 31 using Prime Factorization

Given Input Data is 901, 362, 31

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

Prime Factorization of 901 is 17 x 53

Prime Factorization of 362 is 2 x 181

Prime Factorization of 31 is 31

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

Finding GCD of 901, 362, 31 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(901, 362) = 326162

GCD(901, 362) = ( 901 x 362 ) / 326162

GCD(901, 362) = 326162 / 326162

GCD(901, 362) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

GCD of 901, 362, 31 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 901, 362, 31

1. What is the GCD of 901, 362, 31?

GCD of 901, 362, 31 is 1

2. Where do I get the detailed procedure to find GCD of 901, 362, 31?

You can find a detailed procedure to find GCD of 901, 362, 31 on our page.

3. How to find GCD of 901, 362, 31 on a calculator?

You can find the GCD of 901, 362, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.