GCD of 371, 704, 524, 180 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 371, 704, 524, 180 i.e. 1 largest integer that divides all the numbers equally.

GCD of 371, 704, 524, 180 is 1

GCD(371, 704, 524, 180) = 1

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

GCD of

GCD of numbers 371, 704, 524, 180 is 1

GCD(371, 704, 524, 180) = 1

GCD of 371,704,524,180 Calculator

GCDof 371,704,524,180 is 1

Given Input numbers are 371, 704, 524, 180

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

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 371, 704, 524, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 704, 524, 180 is 1.

Therefore, GCD of numbers 371, 704, 524, 180 is 1

Finding GCD of 371, 704, 524, 180 using Prime Factorization

Given Input Data is 371, 704, 524, 180

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

Prime Factorization of 371 is 7 x 53

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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

Finding GCD of 371, 704, 524, 180 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(371, 704) = 261184

GCD(371, 704) = ( 371 x 704 ) / 261184

GCD(371, 704) = 261184 / 261184

GCD(371, 704) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 371, 704, 524, 180 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 371, 704, 524, 180

1. What is the GCD of 371, 704, 524, 180?

GCD of 371, 704, 524, 180 is 1


2. Where do I get the detailed procedure to find GCD of 371, 704, 524, 180?

You can find a detailed procedure to find GCD of 371, 704, 524, 180 on our page.


3. How to find GCD of 371, 704, 524, 180 on a calculator?

You can find the GCD of 371, 704, 524, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.