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 988, 736, 73, 652 i.e. 1 largest integer that divides all the numbers equally.
GCD of 988, 736, 73, 652 is 1
GCD(988, 736, 73, 652) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 988, 736, 73, 652 is 1
GCD(988, 736, 73, 652) = 1
Given Input numbers are 988, 736, 73, 652
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Greatest Common Divisior
We found the divisors of 988, 736, 73, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 736, 73, 652 is 1.
Therefore, GCD of numbers 988, 736, 73, 652 is 1
Given Input Data is 988, 736, 73, 652
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 73 is 73
Prime Factorization of 652 is 2 x 2 x 163
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(988, 736) = 181792
GCD(988, 736) = ( 988 x 736 ) / 181792
GCD(988, 736) = 727168 / 181792
GCD(988, 736) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 73) = 292
GCD(4, 73) = ( 4 x 73 ) / 292
GCD(4, 73) = 292 / 292
GCD(4, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 652) = 652
GCD(1, 652) = ( 1 x 652 ) / 652
GCD(1, 652) = 652 / 652
GCD(1, 652) = 1
GCD of 988, 736, 73, 652 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 988, 736, 73, 652?
GCD of 988, 736, 73, 652 is 1
2. Where do I get the detailed procedure to find GCD of 988, 736, 73, 652?
You can find a detailed procedure to find GCD of 988, 736, 73, 652 on our page.
3. How to find GCD of 988, 736, 73, 652 on a calculator?
You can find the GCD of 988, 736, 73, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.