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 336, 365, 119, 134 i.e. 1 largest integer that divides all the numbers equally.
GCD of 336, 365, 119, 134 is 1
GCD(336, 365, 119, 134) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 365, 119, 134 is 1
GCD(336, 365, 119, 134) = 1
Given Input numbers are 336, 365, 119, 134
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Greatest Common Divisior
We found the divisors of 336, 365, 119, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 365, 119, 134 is 1.
Therefore, GCD of numbers 336, 365, 119, 134 is 1
Given Input Data is 336, 365, 119, 134
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 365 is 5 x 73
Prime Factorization of 119 is 7 x 17
Prime Factorization of 134 is 2 x 67
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(336, 365) = 122640
GCD(336, 365) = ( 336 x 365 ) / 122640
GCD(336, 365) = 122640 / 122640
GCD(336, 365) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 119
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 119) = 119
GCD(1, 119) = ( 1 x 119 ) / 119
GCD(1, 119) = 119 / 119
GCD(1, 119) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 134
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 134) = 134
GCD(1, 134) = ( 1 x 134 ) / 134
GCD(1, 134) = 134 / 134
GCD(1, 134) = 1
GCD of 336, 365, 119, 134 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 336, 365, 119, 134?
GCD of 336, 365, 119, 134 is 1
2. Where do I get the detailed procedure to find GCD of 336, 365, 119, 134?
You can find a detailed procedure to find GCD of 336, 365, 119, 134 on our page.
3. How to find GCD of 336, 365, 119, 134 on a calculator?
You can find the GCD of 336, 365, 119, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.