GCD of 51, 755, 991, 380 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 51, 755, 991, 380 i.e. 1 largest integer that divides all the numbers equally.

GCD of 51, 755, 991, 380 is 1

GCD(51, 755, 991, 380) = 1

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

GCD of

GCD of numbers 51, 755, 991, 380 is 1

GCD(51, 755, 991, 380) = 1

GCD of 51,755,991,380 Calculator

GCDof 51,755,991,380 is 1

Given Input numbers are 51, 755, 991, 380

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 51, 755, 991, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 755, 991, 380 is 1.

Therefore, GCD of numbers 51, 755, 991, 380 is 1

Finding GCD of 51, 755, 991, 380 using Prime Factorization

Given Input Data is 51, 755, 991, 380

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 755 is 5 x 151

Prime Factorization of 991 is 991

Prime Factorization of 380 is 2 x 2 x 5 x 19

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

Finding GCD of 51, 755, 991, 380 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(51, 755) = 38505

GCD(51, 755) = ( 51 x 755 ) / 38505

GCD(51, 755) = 38505 / 38505

GCD(51, 755) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 51, 755, 991, 380 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 51, 755, 991, 380

1. What is the GCD of 51, 755, 991, 380?

GCD of 51, 755, 991, 380 is 1


2. Where do I get the detailed procedure to find GCD of 51, 755, 991, 380?

You can find a detailed procedure to find GCD of 51, 755, 991, 380 on our page.


3. How to find GCD of 51, 755, 991, 380 on a calculator?

You can find the GCD of 51, 755, 991, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.