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 214, 788, 378, 837 i.e. 1 largest integer that divides all the numbers equally.
GCD of 214, 788, 378, 837 is 1
GCD(214, 788, 378, 837) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 214, 788, 378, 837 is 1
GCD(214, 788, 378, 837) = 1
Given Input numbers are 214, 788, 378, 837
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
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 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Greatest Common Divisior
We found the divisors of 214, 788, 378, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 788, 378, 837 is 1.
Therefore, GCD of numbers 214, 788, 378, 837 is 1
Given Input Data is 214, 788, 378, 837
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 214 is 2 x 107
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 837 is 3 x 3 x 3 x 31
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(214, 788) = 84316
GCD(214, 788) = ( 214 x 788 ) / 84316
GCD(214, 788) = 168632 / 84316
GCD(214, 788) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
GCD(2, 378) = 756 / 378
GCD(2, 378) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 837
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 837) = 1674
GCD(2, 837) = ( 2 x 837 ) / 1674
GCD(2, 837) = 1674 / 1674
GCD(2, 837) = 1
GCD of 214, 788, 378, 837 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 214, 788, 378, 837?
GCD of 214, 788, 378, 837 is 1
2. Where do I get the detailed procedure to find GCD of 214, 788, 378, 837?
You can find a detailed procedure to find GCD of 214, 788, 378, 837 on our page.
3. How to find GCD of 214, 788, 378, 837 on a calculator?
You can find the GCD of 214, 788, 378, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.