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 579, 669, 712, 725 i.e. 1 largest integer that divides all the numbers equally.
GCD of 579, 669, 712, 725 is 1
GCD(579, 669, 712, 725) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 579, 669, 712, 725 is 1
GCD(579, 669, 712, 725) = 1
Given Input numbers are 579, 669, 712, 725
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 579
List of positive integer divisors of 579 that divides 579 without a remainder.
1, 3, 193, 579
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Greatest Common Divisior
We found the divisors of 579, 669, 712, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 579, 669, 712, 725 is 1.
Therefore, GCD of numbers 579, 669, 712, 725 is 1
Given Input Data is 579, 669, 712, 725
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 579 is 3 x 193
Prime Factorization of 669 is 3 x 223
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 725 is 5 x 5 x 29
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(579, 669) = 129117
GCD(579, 669) = ( 579 x 669 ) / 129117
GCD(579, 669) = 387351 / 129117
GCD(579, 669) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 712
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 712) = 2136
GCD(3, 712) = ( 3 x 712 ) / 2136
GCD(3, 712) = 2136 / 2136
GCD(3, 712) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 725
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 725) = 725
GCD(1, 725) = ( 1 x 725 ) / 725
GCD(1, 725) = 725 / 725
GCD(1, 725) = 1
GCD of 579, 669, 712, 725 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 579, 669, 712, 725?
GCD of 579, 669, 712, 725 is 1
2. Where do I get the detailed procedure to find GCD of 579, 669, 712, 725?
You can find a detailed procedure to find GCD of 579, 669, 712, 725 on our page.
3. How to find GCD of 579, 669, 712, 725 on a calculator?
You can find the GCD of 579, 669, 712, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.