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 521, 744, 76, 725 i.e. 1 largest integer that divides all the numbers equally.
GCD of 521, 744, 76, 725 is 1
GCD(521, 744, 76, 725) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 521, 744, 76, 725 is 1
GCD(521, 744, 76, 725) = 1
Given Input numbers are 521, 744, 76, 725
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
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 521, 744, 76, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 744, 76, 725 is 1.
Therefore, GCD of numbers 521, 744, 76, 725 is 1
Given Input Data is 521, 744, 76, 725
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 521 is 521
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 76 is 2 x 2 x 19
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(521, 744) = 387624
GCD(521, 744) = ( 521 x 744 ) / 387624
GCD(521, 744) = 387624 / 387624
GCD(521, 744) = 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 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 521, 744, 76, 725 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 521, 744, 76, 725?
GCD of 521, 744, 76, 725 is 1
2. Where do I get the detailed procedure to find GCD of 521, 744, 76, 725?
You can find a detailed procedure to find GCD of 521, 744, 76, 725 on our page.
3. How to find GCD of 521, 744, 76, 725 on a calculator?
You can find the GCD of 521, 744, 76, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.