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 642, 475, 390, 378 i.e. 1 largest integer that divides all the numbers equally.
GCD of 642, 475, 390, 378 is 1
GCD(642, 475, 390, 378) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 475, 390, 378 is 1
GCD(642, 475, 390, 378) = 1
Given Input numbers are 642, 475, 390, 378
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Greatest Common Divisior
We found the divisors of 642, 475, 390, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 475, 390, 378 is 1.
Therefore, GCD of numbers 642, 475, 390, 378 is 1
Given Input Data is 642, 475, 390, 378
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 475 is 5 x 5 x 19
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
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(642, 475) = 304950
GCD(642, 475) = ( 642 x 475 ) / 304950
GCD(642, 475) = 304950 / 304950
GCD(642, 475) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 390) = 390
GCD(1, 390) = ( 1 x 390 ) / 390
GCD(1, 390) = 390 / 390
GCD(1, 390) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
GCD(1, 378) = 378 / 378
GCD(1, 378) = 1
GCD of 642, 475, 390, 378 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 642, 475, 390, 378?
GCD of 642, 475, 390, 378 is 1
2. Where do I get the detailed procedure to find GCD of 642, 475, 390, 378?
You can find a detailed procedure to find GCD of 642, 475, 390, 378 on our page.
3. How to find GCD of 642, 475, 390, 378 on a calculator?
You can find the GCD of 642, 475, 390, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.