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 759, 739, 712, 989 i.e. 1 largest integer that divides all the numbers equally.
GCD of 759, 739, 712, 989 is 1
GCD(759, 739, 712, 989) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 759, 739, 712, 989 is 1
GCD(759, 739, 712, 989) = 1
Given Input numbers are 759, 739, 712, 989
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Greatest Common Divisior
We found the divisors of 759, 739, 712, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 739, 712, 989 is 1.
Therefore, GCD of numbers 759, 739, 712, 989 is 1
Given Input Data is 759, 739, 712, 989
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 739 is 739
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 989 is 23 x 43
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(759, 739) = 560901
GCD(759, 739) = ( 759 x 739 ) / 560901
GCD(759, 739) = 560901 / 560901
GCD(759, 739) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 712
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 712) = 712
GCD(1, 712) = ( 1 x 712 ) / 712
GCD(1, 712) = 712 / 712
GCD(1, 712) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 989
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 989) = 989
GCD(1, 989) = ( 1 x 989 ) / 989
GCD(1, 989) = 989 / 989
GCD(1, 989) = 1
GCD of 759, 739, 712, 989 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 759, 739, 712, 989?
GCD of 759, 739, 712, 989 is 1
2. Where do I get the detailed procedure to find GCD of 759, 739, 712, 989?
You can find a detailed procedure to find GCD of 759, 739, 712, 989 on our page.
3. How to find GCD of 759, 739, 712, 989 on a calculator?
You can find the GCD of 759, 739, 712, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.