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 475, 378, 421, 240 i.e. 1 largest integer that divides all the numbers equally.
GCD of 475, 378, 421, 240 is 1
GCD(475, 378, 421, 240) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 475, 378, 421, 240 is 1
GCD(475, 378, 421, 240) = 1
Given Input numbers are 475, 378, 421, 240
To find the GCD of numbers using factoring list out all the divisors of each number
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 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Greatest Common Divisior
We found the divisors of 475, 378, 421, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 378, 421, 240 is 1.
Therefore, GCD of numbers 475, 378, 421, 240 is 1
Given Input Data is 475, 378, 421, 240
Make a list of Prime Factors of all the given numbers initially
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 421 is 421
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
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(475, 378) = 179550
GCD(475, 378) = ( 475 x 378 ) / 179550
GCD(475, 378) = 179550 / 179550
GCD(475, 378) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 421
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
GCD(1, 421) = 421 / 421
GCD(1, 421) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
GCD(1, 240) = 240 / 240
GCD(1, 240) = 1
GCD of 475, 378, 421, 240 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 475, 378, 421, 240?
GCD of 475, 378, 421, 240 is 1
2. Where do I get the detailed procedure to find GCD of 475, 378, 421, 240?
You can find a detailed procedure to find GCD of 475, 378, 421, 240 on our page.
3. How to find GCD of 475, 378, 421, 240 on a calculator?
You can find the GCD of 475, 378, 421, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.