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, 645, 311, 883 i.e. 1 largest integer that divides all the numbers equally.
GCD of 375, 645, 311, 883 is 1
GCD(375, 645, 311, 883) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 375, 645, 311, 883 is 1
GCD(375, 645, 311, 883) = 1
Given Input numbers are 375, 645, 311, 883
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 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 883
List of positive integer divisors of 883 that divides 883 without a remainder.
1, 883
Greatest Common Divisior
We found the divisors of 375, 645, 311, 883 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 645, 311, 883 is 1.
Therefore, GCD of numbers 375, 645, 311, 883 is 1
Given Input Data is 375, 645, 311, 883
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 645 is 3 x 5 x 43
Prime Factorization of 311 is 311
Prime Factorization of 883 is 883
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, 645) = 16125
GCD(375, 645) = ( 375 x 645 ) / 16125
GCD(375, 645) = 241875 / 16125
GCD(375, 645) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 311
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 311) = 4665
GCD(15, 311) = ( 15 x 311 ) / 4665
GCD(15, 311) = 4665 / 4665
GCD(15, 311) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 883
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 883) = 883
GCD(1, 883) = ( 1 x 883 ) / 883
GCD(1, 883) = 883 / 883
GCD(1, 883) = 1
GCD of 375, 645, 311, 883 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 375, 645, 311, 883?
GCD of 375, 645, 311, 883 is 1
2. Where do I get the detailed procedure to find GCD of 375, 645, 311, 883?
You can find a detailed procedure to find GCD of 375, 645, 311, 883 on our page.
3. How to find GCD of 375, 645, 311, 883 on a calculator?
You can find the GCD of 375, 645, 311, 883 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.