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 34, 722, 607, 989 i.e. 1 largest integer that divides all the numbers equally.
GCD of 34, 722, 607, 989 is 1
GCD(34, 722, 607, 989) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 34, 722, 607, 989 is 1
GCD(34, 722, 607, 989) = 1
Given Input numbers are 34, 722, 607, 989
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 607
List of positive integer divisors of 607 that divides 607 without a remainder.
1, 607
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 34, 722, 607, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 722, 607, 989 is 1.
Therefore, GCD of numbers 34, 722, 607, 989 is 1
Given Input Data is 34, 722, 607, 989
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 34 is 2 x 17
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 607 is 607
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(34, 722) = 12274
GCD(34, 722) = ( 34 x 722 ) / 12274
GCD(34, 722) = 24548 / 12274
GCD(34, 722) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 607
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 607) = 1214
GCD(2, 607) = ( 2 x 607 ) / 1214
GCD(2, 607) = 1214 / 1214
GCD(2, 607) = 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 34, 722, 607, 989 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 34, 722, 607, 989?
GCD of 34, 722, 607, 989 is 1
2. Where do I get the detailed procedure to find GCD of 34, 722, 607, 989?
You can find a detailed procedure to find GCD of 34, 722, 607, 989 on our page.
3. How to find GCD of 34, 722, 607, 989 on a calculator?
You can find the GCD of 34, 722, 607, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.