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 973, 634, 80, 614 i.e. 1 largest integer that divides all the numbers equally.
GCD of 973, 634, 80, 614 is 1
GCD(973, 634, 80, 614) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 973, 634, 80, 614 is 1
GCD(973, 634, 80, 614) = 1
Given Input numbers are 973, 634, 80, 614
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Greatest Common Divisior
We found the divisors of 973, 634, 80, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 634, 80, 614 is 1.
Therefore, GCD of numbers 973, 634, 80, 614 is 1
Given Input Data is 973, 634, 80, 614
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 973 is 7 x 139
Prime Factorization of 634 is 2 x 317
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 614 is 2 x 307
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(973, 634) = 616882
GCD(973, 634) = ( 973 x 634 ) / 616882
GCD(973, 634) = 616882 / 616882
GCD(973, 634) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 614
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 614) = 614
GCD(1, 614) = ( 1 x 614 ) / 614
GCD(1, 614) = 614 / 614
GCD(1, 614) = 1
GCD of 973, 634, 80, 614 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 973, 634, 80, 614?
GCD of 973, 634, 80, 614 is 1
2. Where do I get the detailed procedure to find GCD of 973, 634, 80, 614?
You can find a detailed procedure to find GCD of 973, 634, 80, 614 on our page.
3. How to find GCD of 973, 634, 80, 614 on a calculator?
You can find the GCD of 973, 634, 80, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.