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, 708, 354, 186 i.e. 1 largest integer that divides all the numbers equally.
GCD of 379, 708, 354, 186 is 1
GCD(379, 708, 354, 186) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 379, 708, 354, 186 is 1
GCD(379, 708, 354, 186) = 1
Given Input numbers are 379, 708, 354, 186
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 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Greatest Common Divisior
We found the divisors of 379, 708, 354, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 379, 708, 354, 186 is 1.
Therefore, GCD of numbers 379, 708, 354, 186 is 1
Given Input Data is 379, 708, 354, 186
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 379 is 379
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 186 is 2 x 3 x 31
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, 708) = 268332
GCD(379, 708) = ( 379 x 708 ) / 268332
GCD(379, 708) = 268332 / 268332
GCD(379, 708) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
GCD(1, 354) = 354 / 354
GCD(1, 354) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 186
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 186) = 186
GCD(1, 186) = ( 1 x 186 ) / 186
GCD(1, 186) = 186 / 186
GCD(1, 186) = 1
GCD of 379, 708, 354, 186 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 379, 708, 354, 186?
GCD of 379, 708, 354, 186 is 1
2. Where do I get the detailed procedure to find GCD of 379, 708, 354, 186?
You can find a detailed procedure to find GCD of 379, 708, 354, 186 on our page.
3. How to find GCD of 379, 708, 354, 186 on a calculator?
You can find the GCD of 379, 708, 354, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.