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 119, 777, 32, 198 i.e. 1 largest integer that divides all the numbers equally.
GCD of 119, 777, 32, 198 is 1
GCD(119, 777, 32, 198) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 119, 777, 32, 198 is 1
GCD(119, 777, 32, 198) = 1
Given Input numbers are 119, 777, 32, 198
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
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
Greatest Common Divisior
We found the divisors of 119, 777, 32, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 777, 32, 198 is 1.
Therefore, GCD of numbers 119, 777, 32, 198 is 1
Given Input Data is 119, 777, 32, 198
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 119 is 7 x 17
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 198 is 2 x 3 x 3 x 11
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(119, 777) = 13209
GCD(119, 777) = ( 119 x 777 ) / 13209
GCD(119, 777) = 92463 / 13209
GCD(119, 777) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 32) = 224
GCD(7, 32) = ( 7 x 32 ) / 224
GCD(7, 32) = 224 / 224
GCD(7, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 198
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
GCD(1, 198) = 198 / 198
GCD(1, 198) = 1
GCD of 119, 777, 32, 198 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 119, 777, 32, 198?
GCD of 119, 777, 32, 198 is 1
2. Where do I get the detailed procedure to find GCD of 119, 777, 32, 198?
You can find a detailed procedure to find GCD of 119, 777, 32, 198 on our page.
3. How to find GCD of 119, 777, 32, 198 on a calculator?
You can find the GCD of 119, 777, 32, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.