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, 769, 39, 814 i.e. 1 largest integer that divides all the numbers equally.
GCD of 725, 769, 39, 814 is 1
GCD(725, 769, 39, 814) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 725, 769, 39, 814 is 1
GCD(725, 769, 39, 814) = 1
Given Input numbers are 725, 769, 39, 814
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 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Greatest Common Divisior
We found the divisors of 725, 769, 39, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 769, 39, 814 is 1.
Therefore, GCD of numbers 725, 769, 39, 814 is 1
Given Input Data is 725, 769, 39, 814
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 769 is 769
Prime Factorization of 39 is 3 x 13
Prime Factorization of 814 is 2 x 11 x 37
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, 769) = 557525
GCD(725, 769) = ( 725 x 769 ) / 557525
GCD(725, 769) = 557525 / 557525
GCD(725, 769) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 814
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 814) = 814
GCD(1, 814) = ( 1 x 814 ) / 814
GCD(1, 814) = 814 / 814
GCD(1, 814) = 1
GCD of 725, 769, 39, 814 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 725, 769, 39, 814?
GCD of 725, 769, 39, 814 is 1
2. Where do I get the detailed procedure to find GCD of 725, 769, 39, 814?
You can find a detailed procedure to find GCD of 725, 769, 39, 814 on our page.
3. How to find GCD of 725, 769, 39, 814 on a calculator?
You can find the GCD of 725, 769, 39, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.