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 787, 678, 963, 930 i.e. 1 largest integer that divides all the numbers equally.
GCD of 787, 678, 963, 930 is 1
GCD(787, 678, 963, 930) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 787, 678, 963, 930 is 1
GCD(787, 678, 963, 930) = 1
Given Input numbers are 787, 678, 963, 930
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Greatest Common Divisior
We found the divisors of 787, 678, 963, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 678, 963, 930 is 1.
Therefore, GCD of numbers 787, 678, 963, 930 is 1
Given Input Data is 787, 678, 963, 930
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 787 is 787
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 930 is 2 x 3 x 5 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(787, 678) = 533586
GCD(787, 678) = ( 787 x 678 ) / 533586
GCD(787, 678) = 533586 / 533586
GCD(787, 678) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 963
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 963) = 963
GCD(1, 963) = ( 1 x 963 ) / 963
GCD(1, 963) = 963 / 963
GCD(1, 963) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 930
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 930) = 930
GCD(1, 930) = ( 1 x 930 ) / 930
GCD(1, 930) = 930 / 930
GCD(1, 930) = 1
GCD of 787, 678, 963, 930 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 787, 678, 963, 930?
GCD of 787, 678, 963, 930 is 1
2. Where do I get the detailed procedure to find GCD of 787, 678, 963, 930?
You can find a detailed procedure to find GCD of 787, 678, 963, 930 on our page.
3. How to find GCD of 787, 678, 963, 930 on a calculator?
You can find the GCD of 787, 678, 963, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.