GCD of 940, 278, 771, 680 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 940, 278, 771, 680 i.e. 1 largest integer that divides all the numbers equally.

GCD of 940, 278, 771, 680 is 1

GCD(940, 278, 771, 680) = 1

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

GCD of

GCD of numbers 940, 278, 771, 680 is 1

GCD(940, 278, 771, 680) = 1

GCD of 940,278,771,680 Calculator

GCDof 940,278,771,680 is 1

Given Input numbers are 940, 278, 771, 680

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 940, 278, 771, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 278, 771, 680 is 1.

Therefore, GCD of numbers 940, 278, 771, 680 is 1

Finding GCD of 940, 278, 771, 680 using Prime Factorization

Given Input Data is 940, 278, 771, 680

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 278 is 2 x 139

Prime Factorization of 771 is 3 x 257

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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

Finding GCD of 940, 278, 771, 680 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(940, 278) = 130660

GCD(940, 278) = ( 940 x 278 ) / 130660

GCD(940, 278) = 261320 / 130660

GCD(940, 278) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 771

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

LCM(2, 771) = 1542

GCD(2, 771) = ( 2 x 771 ) / 1542

GCD(2, 771) = 1542 / 1542

GCD(2, 771) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 940, 278, 771, 680 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 940, 278, 771, 680

1. What is the GCD of 940, 278, 771, 680?

GCD of 940, 278, 771, 680 is 1


2. Where do I get the detailed procedure to find GCD of 940, 278, 771, 680?

You can find a detailed procedure to find GCD of 940, 278, 771, 680 on our page.


3. How to find GCD of 940, 278, 771, 680 on a calculator?

You can find the GCD of 940, 278, 771, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.