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 502, 470, 44, 645 i.e. 1 largest integer that divides all the numbers equally.
GCD of 502, 470, 44, 645 is 1
GCD(502, 470, 44, 645) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 502, 470, 44, 645 is 1
GCD(502, 470, 44, 645) = 1
Given Input numbers are 502, 470, 44, 645
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
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 502, 470, 44, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 470, 44, 645 is 1.
Therefore, GCD of numbers 502, 470, 44, 645 is 1
Given Input Data is 502, 470, 44, 645
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 502 is 2 x 251
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 645 is 3 x 5 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(502, 470) = 117970
GCD(502, 470) = ( 502 x 470 ) / 117970
GCD(502, 470) = 235940 / 117970
GCD(502, 470) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 44) = 44
GCD(2, 44) = ( 2 x 44 ) / 44
GCD(2, 44) = 88 / 44
GCD(2, 44) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 645
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 645) = 1290
GCD(2, 645) = ( 2 x 645 ) / 1290
GCD(2, 645) = 1290 / 1290
GCD(2, 645) = 1
GCD of 502, 470, 44, 645 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 502, 470, 44, 645?
GCD of 502, 470, 44, 645 is 1
2. Where do I get the detailed procedure to find GCD of 502, 470, 44, 645?
You can find a detailed procedure to find GCD of 502, 470, 44, 645 on our page.
3. How to find GCD of 502, 470, 44, 645 on a calculator?
You can find the GCD of 502, 470, 44, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.