GCD of 180, 759, 63, 758 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 180, 759, 63, 758 i.e. 1 largest integer that divides all the numbers equally.

GCD of 180, 759, 63, 758 is 1

GCD(180, 759, 63, 758) = 1

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

GCD of

GCD of numbers 180, 759, 63, 758 is 1

GCD(180, 759, 63, 758) = 1

GCD of 180,759,63,758 Calculator

GCDof 180,759,63,758 is 1

Given Input numbers are 180, 759, 63, 758

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

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 180, 759, 63, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 759, 63, 758 is 1.

Therefore, GCD of numbers 180, 759, 63, 758 is 1

Finding GCD of 180, 759, 63, 758 using Prime Factorization

Given Input Data is 180, 759, 63, 758

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

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 758 is 2 x 379

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

Finding GCD of 180, 759, 63, 758 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(180, 759) = 45540

GCD(180, 759) = ( 180 x 759 ) / 45540

GCD(180, 759) = 136620 / 45540

GCD(180, 759) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 63

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

LCM(3, 63) = 63

GCD(3, 63) = ( 3 x 63 ) / 63

GCD(3, 63) = 189 / 63

GCD(3, 63) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 758

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

LCM(3, 758) = 2274

GCD(3, 758) = ( 3 x 758 ) / 2274

GCD(3, 758) = 2274 / 2274

GCD(3, 758) = 1

GCD of 180, 759, 63, 758 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 180, 759, 63, 758

1. What is the GCD of 180, 759, 63, 758?

GCD of 180, 759, 63, 758 is 1


2. Where do I get the detailed procedure to find GCD of 180, 759, 63, 758?

You can find a detailed procedure to find GCD of 180, 759, 63, 758 on our page.


3. How to find GCD of 180, 759, 63, 758 on a calculator?

You can find the GCD of 180, 759, 63, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.