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 462, 475, 378, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 462, 475, 378, 384 is 1
GCD(462, 475, 378, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 462, 475, 378, 384 is 1
GCD(462, 475, 378, 384) = 1
Given Input numbers are 462, 475, 378, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
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
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Greatest Common Divisior
We found the divisors of 462, 475, 378, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 475, 378, 384 is 1.
Therefore, GCD of numbers 462, 475, 378, 384 is 1
Given Input Data is 462, 475, 378, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 475 is 5 x 5 x 19
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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(462, 475) = 219450
GCD(462, 475) = ( 462 x 475 ) / 219450
GCD(462, 475) = 219450 / 219450
GCD(462, 475) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
GCD of 462, 475, 378, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 462, 475, 378, 384?
GCD of 462, 475, 378, 384 is 1
2. Where do I get the detailed procedure to find GCD of 462, 475, 378, 384?
You can find a detailed procedure to find GCD of 462, 475, 378, 384 on our page.
3. How to find GCD of 462, 475, 378, 384 on a calculator?
You can find the GCD of 462, 475, 378, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.