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 756, 696, 500, 721 i.e. 1 largest integer that divides all the numbers equally.
GCD of 756, 696, 500, 721 is 1
GCD(756, 696, 500, 721) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 756, 696, 500, 721 is 1
GCD(756, 696, 500, 721) = 1
Given Input numbers are 756, 696, 500, 721
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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
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
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Greatest Common Divisior
We found the divisors of 756, 696, 500, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 696, 500, 721 is 1.
Therefore, GCD of numbers 756, 696, 500, 721 is 1
Given Input Data is 756, 696, 500, 721
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 721 is 7 x 103
The above numbers do not have any common prime factor. So GCD is 1
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(756, 696) = 43848
GCD(756, 696) = ( 756 x 696 ) / 43848
GCD(756, 696) = 526176 / 43848
GCD(756, 696) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 500
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 500) = 1500
GCD(12, 500) = ( 12 x 500 ) / 1500
GCD(12, 500) = 6000 / 1500
GCD(12, 500) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 721) = 2884
GCD(4, 721) = ( 4 x 721 ) / 2884
GCD(4, 721) = 2884 / 2884
GCD(4, 721) = 1
GCD of 756, 696, 500, 721 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 756, 696, 500, 721?
GCD of 756, 696, 500, 721 is 1
2. Where do I get the detailed procedure to find GCD of 756, 696, 500, 721?
You can find a detailed procedure to find GCD of 756, 696, 500, 721 on our page.
3. How to find GCD of 756, 696, 500, 721 on a calculator?
You can find the GCD of 756, 696, 500, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.