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 566, 812, 42, 765 i.e. 1 largest integer that divides all the numbers equally.
GCD of 566, 812, 42, 765 is 1
GCD(566, 812, 42, 765) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 566, 812, 42, 765 is 1
GCD(566, 812, 42, 765) = 1
Given Input numbers are 566, 812, 42, 765
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Greatest Common Divisior
We found the divisors of 566, 812, 42, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 812, 42, 765 is 1.
Therefore, GCD of numbers 566, 812, 42, 765 is 1
Given Input Data is 566, 812, 42, 765
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 566 is 2 x 283
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 765 is 3 x 3 x 5 x 17
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(566, 812) = 229796
GCD(566, 812) = ( 566 x 812 ) / 229796
GCD(566, 812) = 459592 / 229796
GCD(566, 812) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 42) = 42
GCD(2, 42) = ( 2 x 42 ) / 42
GCD(2, 42) = 84 / 42
GCD(2, 42) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 765) = 1530
GCD(2, 765) = ( 2 x 765 ) / 1530
GCD(2, 765) = 1530 / 1530
GCD(2, 765) = 1
GCD of 566, 812, 42, 765 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 566, 812, 42, 765?
GCD of 566, 812, 42, 765 is 1
2. Where do I get the detailed procedure to find GCD of 566, 812, 42, 765?
You can find a detailed procedure to find GCD of 566, 812, 42, 765 on our page.
3. How to find GCD of 566, 812, 42, 765 on a calculator?
You can find the GCD of 566, 812, 42, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.