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, 266, 99, 520 i.e. 1 largest integer that divides all the numbers equally.
GCD of 566, 266, 99, 520 is 1
GCD(566, 266, 99, 520) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 566, 266, 99, 520 is 1
GCD(566, 266, 99, 520) = 1
Given Input numbers are 566, 266, 99, 520
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 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Greatest Common Divisior
We found the divisors of 566, 266, 99, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 266, 99, 520 is 1.
Therefore, GCD of numbers 566, 266, 99, 520 is 1
Given Input Data is 566, 266, 99, 520
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 566 is 2 x 283
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
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, 266) = 75278
GCD(566, 266) = ( 566 x 266 ) / 75278
GCD(566, 266) = 150556 / 75278
GCD(566, 266) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 99) = 198
GCD(2, 99) = ( 2 x 99 ) / 198
GCD(2, 99) = 198 / 198
GCD(2, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
GCD of 566, 266, 99, 520 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 566, 266, 99, 520?
GCD of 566, 266, 99, 520 is 1
2. Where do I get the detailed procedure to find GCD of 566, 266, 99, 520?
You can find a detailed procedure to find GCD of 566, 266, 99, 520 on our page.
3. How to find GCD of 566, 266, 99, 520 on a calculator?
You can find the GCD of 566, 266, 99, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.