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, 845, 767, 263 i.e. 1 largest integer that divides all the numbers equally.
GCD of 78, 845, 767, 263 is 1
GCD(78, 845, 767, 263) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 78, 845, 767, 263 is 1
GCD(78, 845, 767, 263) = 1
Given Input numbers are 78, 845, 767, 263
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 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Greatest Common Divisior
We found the divisors of 78, 845, 767, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 845, 767, 263 is 1.
Therefore, GCD of numbers 78, 845, 767, 263 is 1
Given Input Data is 78, 845, 767, 263
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 845 is 5 x 13 x 13
Prime Factorization of 767 is 13 x 59
Prime Factorization of 263 is 263
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, 845) = 5070
GCD(78, 845) = ( 78 x 845 ) / 5070
GCD(78, 845) = 65910 / 5070
GCD(78, 845) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 767) = 767
GCD(13, 767) = ( 13 x 767 ) / 767
GCD(13, 767) = 9971 / 767
GCD(13, 767) = 13
Step3:
Here we consider the GCD from the above i.e. 13 as first number and the next as 263
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 263) = 3419
GCD(13, 263) = ( 13 x 263 ) / 3419
GCD(13, 263) = 3419 / 3419
GCD(13, 263) = 1
GCD of 78, 845, 767, 263 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 78, 845, 767, 263?
GCD of 78, 845, 767, 263 is 1
2. Where do I get the detailed procedure to find GCD of 78, 845, 767, 263?
You can find a detailed procedure to find GCD of 78, 845, 767, 263 on our page.
3. How to find GCD of 78, 845, 767, 263 on a calculator?
You can find the GCD of 78, 845, 767, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.