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, 619, 434, 302 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 619, 434, 302 is 1
GCD(378, 619, 434, 302) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 619, 434, 302 is 1
GCD(378, 619, 434, 302) = 1
Given Input numbers are 378, 619, 434, 302
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 619
List of positive integer divisors of 619 that divides 619 without a remainder.
1, 619
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Greatest Common Divisior
We found the divisors of 378, 619, 434, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 619, 434, 302 is 1.
Therefore, GCD of numbers 378, 619, 434, 302 is 1
Given Input Data is 378, 619, 434, 302
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 619 is 619
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 302 is 2 x 151
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(378, 619) = 233982
GCD(378, 619) = ( 378 x 619 ) / 233982
GCD(378, 619) = 233982 / 233982
GCD(378, 619) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
GCD(1, 434) = 434 / 434
GCD(1, 434) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
GCD(1, 302) = 302 / 302
GCD(1, 302) = 1
GCD of 378, 619, 434, 302 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 619, 434, 302?
GCD of 378, 619, 434, 302 is 1
2. Where do I get the detailed procedure to find GCD of 378, 619, 434, 302?
You can find a detailed procedure to find GCD of 378, 619, 434, 302 on our page.
3. How to find GCD of 378, 619, 434, 302 on a calculator?
You can find the GCD of 378, 619, 434, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.