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 328, 140, 412, 897 i.e. 1 largest integer that divides all the numbers equally.
GCD of 328, 140, 412, 897 is 1
GCD(328, 140, 412, 897) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 328, 140, 412, 897 is 1
GCD(328, 140, 412, 897) = 1
Given Input numbers are 328, 140, 412, 897
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Greatest Common Divisior
We found the divisors of 328, 140, 412, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 140, 412, 897 is 1.
Therefore, GCD of numbers 328, 140, 412, 897 is 1
Given Input Data is 328, 140, 412, 897
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 897 is 3 x 13 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(328, 140) = 11480
GCD(328, 140) = ( 328 x 140 ) / 11480
GCD(328, 140) = 45920 / 11480
GCD(328, 140) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 412) = 412
GCD(4, 412) = ( 4 x 412 ) / 412
GCD(4, 412) = 1648 / 412
GCD(4, 412) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 897
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 897) = 3588
GCD(4, 897) = ( 4 x 897 ) / 3588
GCD(4, 897) = 3588 / 3588
GCD(4, 897) = 1
GCD of 328, 140, 412, 897 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 328, 140, 412, 897?
GCD of 328, 140, 412, 897 is 1
2. Where do I get the detailed procedure to find GCD of 328, 140, 412, 897?
You can find a detailed procedure to find GCD of 328, 140, 412, 897 on our page.
3. How to find GCD of 328, 140, 412, 897 on a calculator?
You can find the GCD of 328, 140, 412, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.