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, 772, 646, 667 i.e. 1 largest integer that divides all the numbers equally.
GCD of 989, 772, 646, 667 is 1
GCD(989, 772, 646, 667) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 989, 772, 646, 667 is 1
GCD(989, 772, 646, 667) = 1
Given Input numbers are 989, 772, 646, 667
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 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Greatest Common Divisior
We found the divisors of 989, 772, 646, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 772, 646, 667 is 1.
Therefore, GCD of numbers 989, 772, 646, 667 is 1
Given Input Data is 989, 772, 646, 667
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 989 is 23 x 43
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 646 is 2 x 17 x 19
Prime Factorization of 667 is 23 x 29
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, 772) = 763508
GCD(989, 772) = ( 989 x 772 ) / 763508
GCD(989, 772) = 763508 / 763508
GCD(989, 772) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 646) = 646
GCD(1, 646) = ( 1 x 646 ) / 646
GCD(1, 646) = 646 / 646
GCD(1, 646) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 667) = 667
GCD(1, 667) = ( 1 x 667 ) / 667
GCD(1, 667) = 667 / 667
GCD(1, 667) = 1
GCD of 989, 772, 646, 667 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 989, 772, 646, 667?
GCD of 989, 772, 646, 667 is 1
2. Where do I get the detailed procedure to find GCD of 989, 772, 646, 667?
You can find a detailed procedure to find GCD of 989, 772, 646, 667 on our page.
3. How to find GCD of 989, 772, 646, 667 on a calculator?
You can find the GCD of 989, 772, 646, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.