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 371, 647, 406, 378 i.e. 1 largest integer that divides all the numbers equally.
GCD of 371, 647, 406, 378 is 1
GCD(371, 647, 406, 378) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 371, 647, 406, 378 is 1
GCD(371, 647, 406, 378) = 1
Given Input numbers are 371, 647, 406, 378
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
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 371, 647, 406, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 647, 406, 378 is 1.
Therefore, GCD of numbers 371, 647, 406, 378 is 1
Given Input Data is 371, 647, 406, 378
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 371 is 7 x 53
Prime Factorization of 647 is 647
Prime Factorization of 406 is 2 x 7 x 29
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(371, 647) = 240037
GCD(371, 647) = ( 371 x 647 ) / 240037
GCD(371, 647) = 240037 / 240037
GCD(371, 647) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 406
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 406) = 406
GCD(1, 406) = ( 1 x 406 ) / 406
GCD(1, 406) = 406 / 406
GCD(1, 406) = 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 371, 647, 406, 378 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 371, 647, 406, 378?
GCD of 371, 647, 406, 378 is 1
2. Where do I get the detailed procedure to find GCD of 371, 647, 406, 378?
You can find a detailed procedure to find GCD of 371, 647, 406, 378 on our page.
3. How to find GCD of 371, 647, 406, 378 on a calculator?
You can find the GCD of 371, 647, 406, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.