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 44, 473, 637, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 44, 473, 637, 629 is 1
GCD(44, 473, 637, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 44, 473, 637, 629 is 1
GCD(44, 473, 637, 629) = 1
Given Input numbers are 44, 473, 637, 629
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 44, 473, 637, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 473, 637, 629 is 1.
Therefore, GCD of numbers 44, 473, 637, 629 is 1
Given Input Data is 44, 473, 637, 629
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 473 is 11 x 43
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 629 is 17 x 37
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(44, 473) = 1892
GCD(44, 473) = ( 44 x 473 ) / 1892
GCD(44, 473) = 20812 / 1892
GCD(44, 473) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 637
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 637) = 7007
GCD(11, 637) = ( 11 x 637 ) / 7007
GCD(11, 637) = 7007 / 7007
GCD(11, 637) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 629) = 629
GCD(1, 629) = ( 1 x 629 ) / 629
GCD(1, 629) = 629 / 629
GCD(1, 629) = 1
GCD of 44, 473, 637, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 44, 473, 637, 629?
GCD of 44, 473, 637, 629 is 1
2. Where do I get the detailed procedure to find GCD of 44, 473, 637, 629?
You can find a detailed procedure to find GCD of 44, 473, 637, 629 on our page.
3. How to find GCD of 44, 473, 637, 629 on a calculator?
You can find the GCD of 44, 473, 637, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.