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 378, 932, 97 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 932, 97 is 1
GCD(378, 932, 97) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 932, 97 is 1
GCD(378, 932, 97) = 1
Given Input numbers are 378, 932, 97
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Greatest Common Divisior
We found the divisors of 378, 932, 97 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 932, 97 is 1.
Therefore, GCD of numbers 378, 932, 97 is 1
Given Input Data is 378, 932, 97
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 932 is 2 x 2 x 233
Prime Factorization of 97 is 97
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(378, 932) = 176148
GCD(378, 932) = ( 378 x 932 ) / 176148
GCD(378, 932) = 352296 / 176148
GCD(378, 932) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 97) = 194
GCD(2, 97) = ( 2 x 97 ) / 194
GCD(2, 97) = 194 / 194
GCD(2, 97) = 1
GCD of 378, 932, 97 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 932, 97?
GCD of 378, 932, 97 is 1
2. Where do I get the detailed procedure to find GCD of 378, 932, 97?
You can find a detailed procedure to find GCD of 378, 932, 97 on our page.
3. How to find GCD of 378, 932, 97 on a calculator?
You can find the GCD of 378, 932, 97 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.