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 412, 179, 61, 368 i.e. 1 largest integer that divides all the numbers equally.
GCD of 412, 179, 61, 368 is 1
GCD(412, 179, 61, 368) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 412, 179, 61, 368 is 1
GCD(412, 179, 61, 368) = 1
Given Input numbers are 412, 179, 61, 368
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Greatest Common Divisior
We found the divisors of 412, 179, 61, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 179, 61, 368 is 1.
Therefore, GCD of numbers 412, 179, 61, 368 is 1
Given Input Data is 412, 179, 61, 368
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 179 is 179
Prime Factorization of 61 is 61
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
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(412, 179) = 73748
GCD(412, 179) = ( 412 x 179 ) / 73748
GCD(412, 179) = 73748 / 73748
GCD(412, 179) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 368) = 368
GCD(1, 368) = ( 1 x 368 ) / 368
GCD(1, 368) = 368 / 368
GCD(1, 368) = 1
GCD of 412, 179, 61, 368 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 412, 179, 61, 368?
GCD of 412, 179, 61, 368 is 1
2. Where do I get the detailed procedure to find GCD of 412, 179, 61, 368?
You can find a detailed procedure to find GCD of 412, 179, 61, 368 on our page.
3. How to find GCD of 412, 179, 61, 368 on a calculator?
You can find the GCD of 412, 179, 61, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.