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 378, 694, 380, 442 i.e. 2 largest integer that divides all the numbers equally.
GCD of 378, 694, 380, 442 is 2
GCD(378, 694, 380, 442) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 694, 380, 442 is 2
GCD(378, 694, 380, 442) = 2
Given Input numbers are 378, 694, 380, 442
To find the GCD of numbers using factoring list out all the divisors of each number
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 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Greatest Common Divisior
We found the divisors of 378, 694, 380, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 694, 380, 442 is 2.
Therefore, GCD of numbers 378, 694, 380, 442 is 2
Given Input Data is 378, 694, 380, 442
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 694 is 2 x 347
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 442 is 2 x 13 x 17
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(378, 694) = 131166
GCD(378, 694) = ( 378 x 694 ) / 131166
GCD(378, 694) = 262332 / 131166
GCD(378, 694) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 380) = 380
GCD(2, 380) = ( 2 x 380 ) / 380
GCD(2, 380) = 760 / 380
GCD(2, 380) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 442) = 442
GCD(2, 442) = ( 2 x 442 ) / 442
GCD(2, 442) = 884 / 442
GCD(2, 442) = 2
GCD of 378, 694, 380, 442 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 694, 380, 442?
GCD of 378, 694, 380, 442 is 2
2. Where do I get the detailed procedure to find GCD of 378, 694, 380, 442?
You can find a detailed procedure to find GCD of 378, 694, 380, 442 on our page.
3. How to find GCD of 378, 694, 380, 442 on a calculator?
You can find the GCD of 378, 694, 380, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.