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, 904, 77, 679 i.e. 1 largest integer that divides all the numbers equally.
GCD of 725, 904, 77, 679 is 1
GCD(725, 904, 77, 679) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 725, 904, 77, 679 is 1
GCD(725, 904, 77, 679) = 1
Given Input numbers are 725, 904, 77, 679
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 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Greatest Common Divisior
We found the divisors of 725, 904, 77, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 904, 77, 679 is 1.
Therefore, GCD of numbers 725, 904, 77, 679 is 1
Given Input Data is 725, 904, 77, 679
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 904 is 2 x 2 x 2 x 113
Prime Factorization of 77 is 7 x 11
Prime Factorization of 679 is 7 x 97
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, 904) = 655400
GCD(725, 904) = ( 725 x 904 ) / 655400
GCD(725, 904) = 655400 / 655400
GCD(725, 904) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 679
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 679) = 679
GCD(1, 679) = ( 1 x 679 ) / 679
GCD(1, 679) = 679 / 679
GCD(1, 679) = 1
GCD of 725, 904, 77, 679 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 725, 904, 77, 679?
GCD of 725, 904, 77, 679 is 1
2. Where do I get the detailed procedure to find GCD of 725, 904, 77, 679?
You can find a detailed procedure to find GCD of 725, 904, 77, 679 on our page.
3. How to find GCD of 725, 904, 77, 679 on a calculator?
You can find the GCD of 725, 904, 77, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.