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, 177, 91, 390 i.e. 1 largest integer that divides all the numbers equally.
GCD of 412, 177, 91, 390 is 1
GCD(412, 177, 91, 390) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 412, 177, 91, 390 is 1
GCD(412, 177, 91, 390) = 1
Given Input numbers are 412, 177, 91, 390
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 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Greatest Common Divisior
We found the divisors of 412, 177, 91, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 177, 91, 390 is 1.
Therefore, GCD of numbers 412, 177, 91, 390 is 1
Given Input Data is 412, 177, 91, 390
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 177 is 3 x 59
Prime Factorization of 91 is 7 x 13
Prime Factorization of 390 is 2 x 3 x 5 x 13
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, 177) = 72924
GCD(412, 177) = ( 412 x 177 ) / 72924
GCD(412, 177) = 72924 / 72924
GCD(412, 177) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 91) = 91
GCD(1, 91) = ( 1 x 91 ) / 91
GCD(1, 91) = 91 / 91
GCD(1, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 390) = 390
GCD(1, 390) = ( 1 x 390 ) / 390
GCD(1, 390) = 390 / 390
GCD(1, 390) = 1
GCD of 412, 177, 91, 390 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 412, 177, 91, 390?
GCD of 412, 177, 91, 390 is 1
2. Where do I get the detailed procedure to find GCD of 412, 177, 91, 390?
You can find a detailed procedure to find GCD of 412, 177, 91, 390 on our page.
3. How to find GCD of 412, 177, 91, 390 on a calculator?
You can find the GCD of 412, 177, 91, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.