GCD of 364, 152, 901 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 364, 152, 901 i.e. 1 largest integer that divides all the numbers equally.

GCD of 364, 152, 901 is 1

GCD(364, 152, 901) = 1

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

GCD of

GCD of numbers 364, 152, 901 is 1

GCD(364, 152, 901) = 1

GCD of 364,152,901 Calculator

GCDof 364,152,901 is 1

Given Input numbers are 364, 152, 901

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 901

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

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 364, 152, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 152, 901 is 1.

Therefore, GCD of numbers 364, 152, 901 is 1

Finding GCD of 364, 152, 901 using Prime Factorization

Given Input Data is 364, 152, 901

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 901 is 17 x 53

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

Finding GCD of 364, 152, 901 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(364, 152) = 13832

GCD(364, 152) = ( 364 x 152 ) / 13832

GCD(364, 152) = 55328 / 13832

GCD(364, 152) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 901

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

LCM(4, 901) = 3604

GCD(4, 901) = ( 4 x 901 ) / 3604

GCD(4, 901) = 3604 / 3604

GCD(4, 901) = 1

GCD of 364, 152, 901 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 364, 152, 901

1. What is the GCD of 364, 152, 901?

GCD of 364, 152, 901 is 1


2. Where do I get the detailed procedure to find GCD of 364, 152, 901?

You can find a detailed procedure to find GCD of 364, 152, 901 on our page.


3. How to find GCD of 364, 152, 901 on a calculator?

You can find the GCD of 364, 152, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.