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, 596, 388, 689 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 596, 388, 689 is 1
GCD(747, 596, 388, 689) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 596, 388, 689 is 1
GCD(747, 596, 388, 689) = 1
Given Input numbers are 747, 596, 388, 689
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 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Greatest Common Divisior
We found the divisors of 747, 596, 388, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 596, 388, 689 is 1.
Therefore, GCD of numbers 747, 596, 388, 689 is 1
Given Input Data is 747, 596, 388, 689
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 596 is 2 x 2 x 149
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 689 is 13 x 53
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, 596) = 445212
GCD(747, 596) = ( 747 x 596 ) / 445212
GCD(747, 596) = 445212 / 445212
GCD(747, 596) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 388
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 388) = 388
GCD(1, 388) = ( 1 x 388 ) / 388
GCD(1, 388) = 388 / 388
GCD(1, 388) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
GCD(1, 689) = 689 / 689
GCD(1, 689) = 1
GCD of 747, 596, 388, 689 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 596, 388, 689?
GCD of 747, 596, 388, 689 is 1
2. Where do I get the detailed procedure to find GCD of 747, 596, 388, 689?
You can find a detailed procedure to find GCD of 747, 596, 388, 689 on our page.
3. How to find GCD of 747, 596, 388, 689 on a calculator?
You can find the GCD of 747, 596, 388, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.