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 780, 688, 53, 878 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 688, 53, 878 is 1
GCD(780, 688, 53, 878) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 688, 53, 878 is 1
GCD(780, 688, 53, 878) = 1
Given Input numbers are 780, 688, 53, 878
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Greatest Common Divisior
We found the divisors of 780, 688, 53, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 688, 53, 878 is 1.
Therefore, GCD of numbers 780, 688, 53, 878 is 1
Given Input Data is 780, 688, 53, 878
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 53 is 53
Prime Factorization of 878 is 2 x 439
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(780, 688) = 134160
GCD(780, 688) = ( 780 x 688 ) / 134160
GCD(780, 688) = 536640 / 134160
GCD(780, 688) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 53) = 212
GCD(4, 53) = ( 4 x 53 ) / 212
GCD(4, 53) = 212 / 212
GCD(4, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 878
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 878) = 878
GCD(1, 878) = ( 1 x 878 ) / 878
GCD(1, 878) = 878 / 878
GCD(1, 878) = 1
GCD of 780, 688, 53, 878 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 688, 53, 878?
GCD of 780, 688, 53, 878 is 1
2. Where do I get the detailed procedure to find GCD of 780, 688, 53, 878?
You can find a detailed procedure to find GCD of 780, 688, 53, 878 on our page.
3. How to find GCD of 780, 688, 53, 878 on a calculator?
You can find the GCD of 780, 688, 53, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.