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 565, 361, 78, 678 i.e. 1 largest integer that divides all the numbers equally.
GCD of 565, 361, 78, 678 is 1
GCD(565, 361, 78, 678) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 565, 361, 78, 678 is 1
GCD(565, 361, 78, 678) = 1
Given Input numbers are 565, 361, 78, 678
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
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 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Greatest Common Divisior
We found the divisors of 565, 361, 78, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 361, 78, 678 is 1.
Therefore, GCD of numbers 565, 361, 78, 678 is 1
Given Input Data is 565, 361, 78, 678
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 565 is 5 x 113
Prime Factorization of 361 is 19 x 19
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 678 is 2 x 3 x 113
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(565, 361) = 203965
GCD(565, 361) = ( 565 x 361 ) / 203965
GCD(565, 361) = 203965 / 203965
GCD(565, 361) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
GCD(1, 78) = 78 / 78
GCD(1, 78) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 678
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 678) = 678
GCD(1, 678) = ( 1 x 678 ) / 678
GCD(1, 678) = 678 / 678
GCD(1, 678) = 1
GCD of 565, 361, 78, 678 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 565, 361, 78, 678?
GCD of 565, 361, 78, 678 is 1
2. Where do I get the detailed procedure to find GCD of 565, 361, 78, 678?
You can find a detailed procedure to find GCD of 565, 361, 78, 678 on our page.
3. How to find GCD of 565, 361, 78, 678 on a calculator?
You can find the GCD of 565, 361, 78, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.