GCD of 750, 102, 77, 696 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 750, 102, 77, 696 i.e. 1 largest integer that divides all the numbers equally.

GCD of 750, 102, 77, 696 is 1

GCD(750, 102, 77, 696) = 1

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

GCD of

GCD of numbers 750, 102, 77, 696 is 1

GCD(750, 102, 77, 696) = 1

GCD of 750,102,77,696 Calculator

GCDof 750,102,77,696 is 1

Given Input numbers are 750, 102, 77, 696

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 77

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

1, 7, 11, 77

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 750, 102, 77, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 102, 77, 696 is 1.

Therefore, GCD of numbers 750, 102, 77, 696 is 1

Finding GCD of 750, 102, 77, 696 using Prime Factorization

Given Input Data is 750, 102, 77, 696

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 77 is 7 x 11

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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

Finding GCD of 750, 102, 77, 696 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(750, 102) = 12750

GCD(750, 102) = ( 750 x 102 ) / 12750

GCD(750, 102) = 76500 / 12750

GCD(750, 102) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 77

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

LCM(6, 77) = 462

GCD(6, 77) = ( 6 x 77 ) / 462

GCD(6, 77) = 462 / 462

GCD(6, 77) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 696

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

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

GCD(1, 696) = 696 / 696

GCD(1, 696) = 1

GCD of 750, 102, 77, 696 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 750, 102, 77, 696

1. What is the GCD of 750, 102, 77, 696?

GCD of 750, 102, 77, 696 is 1


2. Where do I get the detailed procedure to find GCD of 750, 102, 77, 696?

You can find a detailed procedure to find GCD of 750, 102, 77, 696 on our page.


3. How to find GCD of 750, 102, 77, 696 on a calculator?

You can find the GCD of 750, 102, 77, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.