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 387, 375, 398, 472 i.e. 1 largest integer that divides all the numbers equally.
GCD of 387, 375, 398, 472 is 1
GCD(387, 375, 398, 472) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 387, 375, 398, 472 is 1
GCD(387, 375, 398, 472) = 1
Given Input numbers are 387, 375, 398, 472
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
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 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Greatest Common Divisior
We found the divisors of 387, 375, 398, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 375, 398, 472 is 1.
Therefore, GCD of numbers 387, 375, 398, 472 is 1
Given Input Data is 387, 375, 398, 472
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 398 is 2 x 199
Prime Factorization of 472 is 2 x 2 x 2 x 59
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(387, 375) = 48375
GCD(387, 375) = ( 387 x 375 ) / 48375
GCD(387, 375) = 145125 / 48375
GCD(387, 375) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 398) = 1194
GCD(3, 398) = ( 3 x 398 ) / 1194
GCD(3, 398) = 1194 / 1194
GCD(3, 398) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
GCD(1, 472) = 472 / 472
GCD(1, 472) = 1
GCD of 387, 375, 398, 472 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 387, 375, 398, 472?
GCD of 387, 375, 398, 472 is 1
2. Where do I get the detailed procedure to find GCD of 387, 375, 398, 472?
You can find a detailed procedure to find GCD of 387, 375, 398, 472 on our page.
3. How to find GCD of 387, 375, 398, 472 on a calculator?
You can find the GCD of 387, 375, 398, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.