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 989, 592, 697, 713 i.e. 1 largest integer that divides all the numbers equally.
GCD of 989, 592, 697, 713 is 1
GCD(989, 592, 697, 713) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 989, 592, 697, 713 is 1
GCD(989, 592, 697, 713) = 1
Given Input numbers are 989, 592, 697, 713
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Greatest Common Divisior
We found the divisors of 989, 592, 697, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 592, 697, 713 is 1.
Therefore, GCD of numbers 989, 592, 697, 713 is 1
Given Input Data is 989, 592, 697, 713
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 989 is 23 x 43
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
Prime Factorization of 697 is 17 x 41
Prime Factorization of 713 is 23 x 31
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(989, 592) = 585488
GCD(989, 592) = ( 989 x 592 ) / 585488
GCD(989, 592) = 585488 / 585488
GCD(989, 592) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 697
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
GCD(1, 697) = 697 / 697
GCD(1, 697) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 713
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 713) = 713
GCD(1, 713) = ( 1 x 713 ) / 713
GCD(1, 713) = 713 / 713
GCD(1, 713) = 1
GCD of 989, 592, 697, 713 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 989, 592, 697, 713?
GCD of 989, 592, 697, 713 is 1
2. Where do I get the detailed procedure to find GCD of 989, 592, 697, 713?
You can find a detailed procedure to find GCD of 989, 592, 697, 713 on our page.
3. How to find GCD of 989, 592, 697, 713 on a calculator?
You can find the GCD of 989, 592, 697, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.