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 725, 736, 763, 721 i.e. 1 largest integer that divides all the numbers equally.
GCD of 725, 736, 763, 721 is 1
GCD(725, 736, 763, 721) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 725, 736, 763, 721 is 1
GCD(725, 736, 763, 721) = 1
Given Input numbers are 725, 736, 763, 721
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
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 725, 736, 763, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 736, 763, 721 is 1.
Therefore, GCD of numbers 725, 736, 763, 721 is 1
Given Input Data is 725, 736, 763, 721
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 763 is 7 x 109
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(725, 736) = 533600
GCD(725, 736) = ( 725 x 736 ) / 533600
GCD(725, 736) = 533600 / 533600
GCD(725, 736) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 763) = 763
GCD(1, 763) = ( 1 x 763 ) / 763
GCD(1, 763) = 763 / 763
GCD(1, 763) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
GCD(1, 721) = 721 / 721
GCD(1, 721) = 1
GCD of 725, 736, 763, 721 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 725, 736, 763, 721?
GCD of 725, 736, 763, 721 is 1
2. Where do I get the detailed procedure to find GCD of 725, 736, 763, 721?
You can find a detailed procedure to find GCD of 725, 736, 763, 721 on our page.
3. How to find GCD of 725, 736, 763, 721 on a calculator?
You can find the GCD of 725, 736, 763, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.