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, 76, 964 i.e. 1 largest integer that divides all the numbers equally.
GCD of 725, 769, 76, 964 is 1
GCD(725, 769, 76, 964) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 725, 769, 76, 964 is 1
GCD(725, 769, 76, 964) = 1
Given Input numbers are 725, 769, 76, 964
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 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Greatest Common Divisior
We found the divisors of 725, 769, 76, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 769, 76, 964 is 1.
Therefore, GCD of numbers 725, 769, 76, 964 is 1
Given Input Data is 725, 769, 76, 964
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 76 is 2 x 2 x 19
Prime Factorization of 964 is 2 x 2 x 241
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 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 964) = 964
GCD(1, 964) = ( 1 x 964 ) / 964
GCD(1, 964) = 964 / 964
GCD(1, 964) = 1
GCD of 725, 769, 76, 964 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 725, 769, 76, 964?
GCD of 725, 769, 76, 964 is 1
2. Where do I get the detailed procedure to find GCD of 725, 769, 76, 964?
You can find a detailed procedure to find GCD of 725, 769, 76, 964 on our page.
3. How to find GCD of 725, 769, 76, 964 on a calculator?
You can find the GCD of 725, 769, 76, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.