GCD of 77, 778, 370, 500 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 77, 778, 370, 500 i.e. 1 largest integer that divides all the numbers equally.

GCD of 77, 778, 370, 500 is 1

GCD(77, 778, 370, 500) = 1

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

GCD of

GCD of numbers 77, 778, 370, 500 is 1

GCD(77, 778, 370, 500) = 1

GCD of 77,778,370,500 Calculator

GCDof 77,778,370,500 is 1

Given Input numbers are 77, 778, 370, 500

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 77, 778, 370, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 778, 370, 500 is 1.

Therefore, GCD of numbers 77, 778, 370, 500 is 1

Finding GCD of 77, 778, 370, 500 using Prime Factorization

Given Input Data is 77, 778, 370, 500

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 778 is 2 x 389

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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

Finding GCD of 77, 778, 370, 500 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(77, 778) = 59906

GCD(77, 778) = ( 77 x 778 ) / 59906

GCD(77, 778) = 59906 / 59906

GCD(77, 778) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 77, 778, 370, 500 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 77, 778, 370, 500

1. What is the GCD of 77, 778, 370, 500?

GCD of 77, 778, 370, 500 is 1


2. Where do I get the detailed procedure to find GCD of 77, 778, 370, 500?

You can find a detailed procedure to find GCD of 77, 778, 370, 500 on our page.


3. How to find GCD of 77, 778, 370, 500 on a calculator?

You can find the GCD of 77, 778, 370, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.