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, 307, 135, 167 i.e. 1 largest integer that divides all the numbers equally.
GCD of 119, 307, 135, 167 is 1
GCD(119, 307, 135, 167) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 119, 307, 135, 167 is 1
GCD(119, 307, 135, 167) = 1
Given Input numbers are 119, 307, 135, 167
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 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Greatest Common Divisior
We found the divisors of 119, 307, 135, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 307, 135, 167 is 1.
Therefore, GCD of numbers 119, 307, 135, 167 is 1
Given Input Data is 119, 307, 135, 167
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 119 is 7 x 17
Prime Factorization of 307 is 307
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 167 is 167
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, 307) = 36533
GCD(119, 307) = ( 119 x 307 ) / 36533
GCD(119, 307) = 36533 / 36533
GCD(119, 307) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 167
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 167) = 167
GCD(1, 167) = ( 1 x 167 ) / 167
GCD(1, 167) = 167 / 167
GCD(1, 167) = 1
GCD of 119, 307, 135, 167 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 119, 307, 135, 167?
GCD of 119, 307, 135, 167 is 1
2. Where do I get the detailed procedure to find GCD of 119, 307, 135, 167?
You can find a detailed procedure to find GCD of 119, 307, 135, 167 on our page.
3. How to find GCD of 119, 307, 135, 167 on a calculator?
You can find the GCD of 119, 307, 135, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.