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 747, 725, 808, 612 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 725, 808, 612 is 1
GCD(747, 725, 808, 612) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 725, 808, 612 is 1
GCD(747, 725, 808, 612) = 1
Given Input numbers are 747, 725, 808, 612
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Greatest Common Divisior
We found the divisors of 747, 725, 808, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 725, 808, 612 is 1.
Therefore, GCD of numbers 747, 725, 808, 612 is 1
Given Input Data is 747, 725, 808, 612
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
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(747, 725) = 541575
GCD(747, 725) = ( 747 x 725 ) / 541575
GCD(747, 725) = 541575 / 541575
GCD(747, 725) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 808) = 808
GCD(1, 808) = ( 1 x 808 ) / 808
GCD(1, 808) = 808 / 808
GCD(1, 808) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 612
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 612) = 612
GCD(1, 612) = ( 1 x 612 ) / 612
GCD(1, 612) = 612 / 612
GCD(1, 612) = 1
GCD of 747, 725, 808, 612 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 725, 808, 612?
GCD of 747, 725, 808, 612 is 1
2. Where do I get the detailed procedure to find GCD of 747, 725, 808, 612?
You can find a detailed procedure to find GCD of 747, 725, 808, 612 on our page.
3. How to find GCD of 747, 725, 808, 612 on a calculator?
You can find the GCD of 747, 725, 808, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.