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, 975, 626, 473 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 975, 626, 473 is 1
GCD(363, 975, 626, 473) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 975, 626, 473 is 1
GCD(363, 975, 626, 473) = 1
Given Input numbers are 363, 975, 626, 473
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 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Greatest Common Divisior
We found the divisors of 363, 975, 626, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 975, 626, 473 is 1.
Therefore, GCD of numbers 363, 975, 626, 473 is 1
Given Input Data is 363, 975, 626, 473
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 975 is 3 x 5 x 5 x 13
Prime Factorization of 626 is 2 x 313
Prime Factorization of 473 is 11 x 43
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, 975) = 117975
GCD(363, 975) = ( 363 x 975 ) / 117975
GCD(363, 975) = 353925 / 117975
GCD(363, 975) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 626
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 626) = 1878
GCD(3, 626) = ( 3 x 626 ) / 1878
GCD(3, 626) = 1878 / 1878
GCD(3, 626) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 473
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 473) = 473
GCD(1, 473) = ( 1 x 473 ) / 473
GCD(1, 473) = 473 / 473
GCD(1, 473) = 1
GCD of 363, 975, 626, 473 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 363, 975, 626, 473?
GCD of 363, 975, 626, 473 is 1
2. Where do I get the detailed procedure to find GCD of 363, 975, 626, 473?
You can find a detailed procedure to find GCD of 363, 975, 626, 473 on our page.
3. How to find GCD of 363, 975, 626, 473 on a calculator?
You can find the GCD of 363, 975, 626, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.