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 198, 632, 915, 720 i.e. 1 largest integer that divides all the numbers equally.
GCD of 198, 632, 915, 720 is 1
GCD(198, 632, 915, 720) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 198, 632, 915, 720 is 1
GCD(198, 632, 915, 720) = 1
Given Input numbers are 198, 632, 915, 720
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Greatest Common Divisior
We found the divisors of 198, 632, 915, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 632, 915, 720 is 1.
Therefore, GCD of numbers 198, 632, 915, 720 is 1
Given Input Data is 198, 632, 915, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 632 is 2 x 2 x 2 x 79
Prime Factorization of 915 is 3 x 5 x 61
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
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(198, 632) = 62568
GCD(198, 632) = ( 198 x 632 ) / 62568
GCD(198, 632) = 125136 / 62568
GCD(198, 632) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 915
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 915) = 1830
GCD(2, 915) = ( 2 x 915 ) / 1830
GCD(2, 915) = 1830 / 1830
GCD(2, 915) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
GCD(1, 720) = 720 / 720
GCD(1, 720) = 1
GCD of 198, 632, 915, 720 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 198, 632, 915, 720?
GCD of 198, 632, 915, 720 is 1
2. Where do I get the detailed procedure to find GCD of 198, 632, 915, 720?
You can find a detailed procedure to find GCD of 198, 632, 915, 720 on our page.
3. How to find GCD of 198, 632, 915, 720 on a calculator?
You can find the GCD of 198, 632, 915, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.