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 202, 732, 13, 564 i.e. 1 largest integer that divides all the numbers equally.
GCD of 202, 732, 13, 564 is 1
GCD(202, 732, 13, 564) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 202, 732, 13, 564 is 1
GCD(202, 732, 13, 564) = 1
Given Input numbers are 202, 732, 13, 564
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Greatest Common Divisior
We found the divisors of 202, 732, 13, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 732, 13, 564 is 1.
Therefore, GCD of numbers 202, 732, 13, 564 is 1
Given Input Data is 202, 732, 13, 564
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 202 is 2 x 101
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 13 is 13
Prime Factorization of 564 is 2 x 2 x 3 x 47
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(202, 732) = 73932
GCD(202, 732) = ( 202 x 732 ) / 73932
GCD(202, 732) = 147864 / 73932
GCD(202, 732) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 13) = 26
GCD(2, 13) = ( 2 x 13 ) / 26
GCD(2, 13) = 26 / 26
GCD(2, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
GCD(1, 564) = 564 / 564
GCD(1, 564) = 1
GCD of 202, 732, 13, 564 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 202, 732, 13, 564?
GCD of 202, 732, 13, 564 is 1
2. Where do I get the detailed procedure to find GCD of 202, 732, 13, 564?
You can find a detailed procedure to find GCD of 202, 732, 13, 564 on our page.
3. How to find GCD of 202, 732, 13, 564 on a calculator?
You can find the GCD of 202, 732, 13, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.