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 78, 812, 513, 938 i.e. 1 largest integer that divides all the numbers equally.
GCD of 78, 812, 513, 938 is 1
GCD(78, 812, 513, 938) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 78, 812, 513, 938 is 1
GCD(78, 812, 513, 938) = 1
Given Input numbers are 78, 812, 513, 938
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Greatest Common Divisior
We found the divisors of 78, 812, 513, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 812, 513, 938 is 1.
Therefore, GCD of numbers 78, 812, 513, 938 is 1
Given Input Data is 78, 812, 513, 938
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 938 is 2 x 7 x 67
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(78, 812) = 31668
GCD(78, 812) = ( 78 x 812 ) / 31668
GCD(78, 812) = 63336 / 31668
GCD(78, 812) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 513) = 1026
GCD(2, 513) = ( 2 x 513 ) / 1026
GCD(2, 513) = 1026 / 1026
GCD(2, 513) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 938) = 938
GCD(1, 938) = ( 1 x 938 ) / 938
GCD(1, 938) = 938 / 938
GCD(1, 938) = 1
GCD of 78, 812, 513, 938 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 78, 812, 513, 938?
GCD of 78, 812, 513, 938 is 1
2. Where do I get the detailed procedure to find GCD of 78, 812, 513, 938?
You can find a detailed procedure to find GCD of 78, 812, 513, 938 on our page.
3. How to find GCD of 78, 812, 513, 938 on a calculator?
You can find the GCD of 78, 812, 513, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.