GCD of 780, 760, 24, 277 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 780, 760, 24, 277 i.e. 1 largest integer that divides all the numbers equally.

GCD of 780, 760, 24, 277 is 1

GCD(780, 760, 24, 277) = 1

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

GCD of

GCD of numbers 780, 760, 24, 277 is 1

GCD(780, 760, 24, 277) = 1

GCD of 780,760,24,277 Calculator

GCDof 780,760,24,277 is 1

Given Input numbers are 780, 760, 24, 277

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Greatest Common Divisior

We found the divisors of 780, 760, 24, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 760, 24, 277 is 1.

Therefore, GCD of numbers 780, 760, 24, 277 is 1

Finding GCD of 780, 760, 24, 277 using Prime Factorization

Given Input Data is 780, 760, 24, 277

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 277 is 277

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

Finding GCD of 780, 760, 24, 277 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(780, 760) = 29640

GCD(780, 760) = ( 780 x 760 ) / 29640

GCD(780, 760) = 592800 / 29640

GCD(780, 760) = 20


Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 24

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

LCM(20, 24) = 120

GCD(20, 24) = ( 20 x 24 ) / 120

GCD(20, 24) = 480 / 120

GCD(20, 24) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 277

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

LCM(4, 277) = 1108

GCD(4, 277) = ( 4 x 277 ) / 1108

GCD(4, 277) = 1108 / 1108

GCD(4, 277) = 1

GCD of 780, 760, 24, 277 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 780, 760, 24, 277

1. What is the GCD of 780, 760, 24, 277?

GCD of 780, 760, 24, 277 is 1


2. Where do I get the detailed procedure to find GCD of 780, 760, 24, 277?

You can find a detailed procedure to find GCD of 780, 760, 24, 277 on our page.


3. How to find GCD of 780, 760, 24, 277 on a calculator?

You can find the GCD of 780, 760, 24, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.