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 363, 168, 563, 910 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 168, 563, 910 is 1
GCD(363, 168, 563, 910) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 168, 563, 910 is 1
GCD(363, 168, 563, 910) = 1
Given Input numbers are 363, 168, 563, 910
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Greatest Common Divisior
We found the divisors of 363, 168, 563, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 168, 563, 910 is 1.
Therefore, GCD of numbers 363, 168, 563, 910 is 1
Given Input Data is 363, 168, 563, 910
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 563 is 563
Prime Factorization of 910 is 2 x 5 x 7 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(363, 168) = 20328
GCD(363, 168) = ( 363 x 168 ) / 20328
GCD(363, 168) = 60984 / 20328
GCD(363, 168) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 563
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 563) = 1689
GCD(3, 563) = ( 3 x 563 ) / 1689
GCD(3, 563) = 1689 / 1689
GCD(3, 563) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 910
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 910) = 910
GCD(1, 910) = ( 1 x 910 ) / 910
GCD(1, 910) = 910 / 910
GCD(1, 910) = 1
GCD of 363, 168, 563, 910 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 363, 168, 563, 910?
GCD of 363, 168, 563, 910 is 1
2. Where do I get the detailed procedure to find GCD of 363, 168, 563, 910?
You can find a detailed procedure to find GCD of 363, 168, 563, 910 on our page.
3. How to find GCD of 363, 168, 563, 910 on a calculator?
You can find the GCD of 363, 168, 563, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.