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 379, 134, 42, 216 i.e. 1 largest integer that divides all the numbers equally.
GCD of 379, 134, 42, 216 is 1
GCD(379, 134, 42, 216) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 379, 134, 42, 216 is 1
GCD(379, 134, 42, 216) = 1
Given Input numbers are 379, 134, 42, 216
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Greatest Common Divisior
We found the divisors of 379, 134, 42, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 379, 134, 42, 216 is 1.
Therefore, GCD of numbers 379, 134, 42, 216 is 1
Given Input Data is 379, 134, 42, 216
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 379 is 379
Prime Factorization of 134 is 2 x 67
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
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(379, 134) = 50786
GCD(379, 134) = ( 379 x 134 ) / 50786
GCD(379, 134) = 50786 / 50786
GCD(379, 134) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
GCD(1, 216) = 216 / 216
GCD(1, 216) = 1
GCD of 379, 134, 42, 216 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 379, 134, 42, 216?
GCD of 379, 134, 42, 216 is 1
2. Where do I get the detailed procedure to find GCD of 379, 134, 42, 216?
You can find a detailed procedure to find GCD of 379, 134, 42, 216 on our page.
3. How to find GCD of 379, 134, 42, 216 on a calculator?
You can find the GCD of 379, 134, 42, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.