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 375, 916, 601 i.e. 1 largest integer that divides all the numbers equally.
GCD of 375, 916, 601 is 1
GCD(375, 916, 601) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 375, 916, 601 is 1
GCD(375, 916, 601) = 1
Given Input numbers are 375, 916, 601
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Greatest Common Divisior
We found the divisors of 375, 916, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 916, 601 is 1.
Therefore, GCD of numbers 375, 916, 601 is 1
Given Input Data is 375, 916, 601
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 601 is 601
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(375, 916) = 343500
GCD(375, 916) = ( 375 x 916 ) / 343500
GCD(375, 916) = 343500 / 343500
GCD(375, 916) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 601
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 601) = 601
GCD(1, 601) = ( 1 x 601 ) / 601
GCD(1, 601) = 601 / 601
GCD(1, 601) = 1
GCD of 375, 916, 601 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 375, 916, 601?
GCD of 375, 916, 601 is 1
2. Where do I get the detailed procedure to find GCD of 375, 916, 601?
You can find a detailed procedure to find GCD of 375, 916, 601 on our page.
3. How to find GCD of 375, 916, 601 on a calculator?
You can find the GCD of 375, 916, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.