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 522, 561, 645 i.e. 3 largest integer that divides all the numbers equally.
GCD of 522, 561, 645 is 3
GCD(522, 561, 645) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 522, 561, 645 is 3
GCD(522, 561, 645) = 3
Given Input numbers are 522, 561, 645
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Greatest Common Divisior
We found the divisors of 522, 561, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 561, 645 is 3.
Therefore, GCD of numbers 522, 561, 645 is 3
Given Input Data is 522, 561, 645
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 645 is 3 x 5 x 43
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(522, 561) = 97614
GCD(522, 561) = ( 522 x 561 ) / 97614
GCD(522, 561) = 292842 / 97614
GCD(522, 561) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 645
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 645) = 645
GCD(3, 645) = ( 3 x 645 ) / 645
GCD(3, 645) = 1935 / 645
GCD(3, 645) = 3
GCD of 522, 561, 645 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 522, 561, 645?
GCD of 522, 561, 645 is 3
2. Where do I get the detailed procedure to find GCD of 522, 561, 645?
You can find a detailed procedure to find GCD of 522, 561, 645 on our page.
3. How to find GCD of 522, 561, 645 on a calculator?
You can find the GCD of 522, 561, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.