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 117, 199, 106, 150 i.e. 1 largest integer that divides all the numbers equally.
GCD of 117, 199, 106, 150 is 1
GCD(117, 199, 106, 150) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 117, 199, 106, 150 is 1
GCD(117, 199, 106, 150) = 1
Given Input numbers are 117, 199, 106, 150
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Greatest Common Divisior
We found the divisors of 117, 199, 106, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 199, 106, 150 is 1.
Therefore, GCD of numbers 117, 199, 106, 150 is 1
Given Input Data is 117, 199, 106, 150
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 199 is 199
Prime Factorization of 106 is 2 x 53
Prime Factorization of 150 is 2 x 3 x 5 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(117, 199) = 23283
GCD(117, 199) = ( 117 x 199 ) / 23283
GCD(117, 199) = 23283 / 23283
GCD(117, 199) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
GCD(1, 106) = 106 / 106
GCD(1, 106) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 150
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 150) = 150
GCD(1, 150) = ( 1 x 150 ) / 150
GCD(1, 150) = 150 / 150
GCD(1, 150) = 1
GCD of 117, 199, 106, 150 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 117, 199, 106, 150?
GCD of 117, 199, 106, 150 is 1
2. Where do I get the detailed procedure to find GCD of 117, 199, 106, 150?
You can find a detailed procedure to find GCD of 117, 199, 106, 150 on our page.
3. How to find GCD of 117, 199, 106, 150 on a calculator?
You can find the GCD of 117, 199, 106, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.