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 711, 678, 565, 771 i.e. 1 largest integer that divides all the numbers equally.
GCD of 711, 678, 565, 771 is 1
GCD(711, 678, 565, 771) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 711, 678, 565, 771 is 1
GCD(711, 678, 565, 771) = 1
Given Input numbers are 711, 678, 565, 771
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
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 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Greatest Common Divisior
We found the divisors of 711, 678, 565, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 678, 565, 771 is 1.
Therefore, GCD of numbers 711, 678, 565, 771 is 1
Given Input Data is 711, 678, 565, 771
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 565 is 5 x 113
Prime Factorization of 771 is 3 x 257
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(711, 678) = 160686
GCD(711, 678) = ( 711 x 678 ) / 160686
GCD(711, 678) = 482058 / 160686
GCD(711, 678) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 565
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 565) = 1695
GCD(3, 565) = ( 3 x 565 ) / 1695
GCD(3, 565) = 1695 / 1695
GCD(3, 565) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 771) = 771
GCD(1, 771) = ( 1 x 771 ) / 771
GCD(1, 771) = 771 / 771
GCD(1, 771) = 1
GCD of 711, 678, 565, 771 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 711, 678, 565, 771?
GCD of 711, 678, 565, 771 is 1
2. Where do I get the detailed procedure to find GCD of 711, 678, 565, 771?
You can find a detailed procedure to find GCD of 711, 678, 565, 771 on our page.
3. How to find GCD of 711, 678, 565, 771 on a calculator?
You can find the GCD of 711, 678, 565, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.