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 916, 332, 397, 452 i.e. 1 largest integer that divides all the numbers equally.
GCD of 916, 332, 397, 452 is 1
GCD(916, 332, 397, 452) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 916, 332, 397, 452 is 1
GCD(916, 332, 397, 452) = 1
Given Input numbers are 916, 332, 397, 452
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Greatest Common Divisior
We found the divisors of 916, 332, 397, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 332, 397, 452 is 1.
Therefore, GCD of numbers 916, 332, 397, 452 is 1
Given Input Data is 916, 332, 397, 452
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 397 is 397
Prime Factorization of 452 is 2 x 2 x 113
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(916, 332) = 76028
GCD(916, 332) = ( 916 x 332 ) / 76028
GCD(916, 332) = 304112 / 76028
GCD(916, 332) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 397) = 1588
GCD(4, 397) = ( 4 x 397 ) / 1588
GCD(4, 397) = 1588 / 1588
GCD(4, 397) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 452
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 452) = 452
GCD(1, 452) = ( 1 x 452 ) / 452
GCD(1, 452) = 452 / 452
GCD(1, 452) = 1
GCD of 916, 332, 397, 452 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 916, 332, 397, 452?
GCD of 916, 332, 397, 452 is 1
2. Where do I get the detailed procedure to find GCD of 916, 332, 397, 452?
You can find a detailed procedure to find GCD of 916, 332, 397, 452 on our page.
3. How to find GCD of 916, 332, 397, 452 on a calculator?
You can find the GCD of 916, 332, 397, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.