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, 719, 21, 477 i.e. 1 largest integer that divides all the numbers equally.
GCD of 502, 719, 21, 477 is 1
GCD(502, 719, 21, 477) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 502, 719, 21, 477 is 1
GCD(502, 719, 21, 477) = 1
Given Input numbers are 502, 719, 21, 477
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 719
List of positive integer divisors of 719 that divides 719 without a remainder.
1, 719
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Greatest Common Divisior
We found the divisors of 502, 719, 21, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 719, 21, 477 is 1.
Therefore, GCD of numbers 502, 719, 21, 477 is 1
Given Input Data is 502, 719, 21, 477
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 502 is 2 x 251
Prime Factorization of 719 is 719
Prime Factorization of 21 is 3 x 7
Prime Factorization of 477 is 3 x 3 x 53
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, 719) = 360938
GCD(502, 719) = ( 502 x 719 ) / 360938
GCD(502, 719) = 360938 / 360938
GCD(502, 719) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 477
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 477) = 477
GCD(1, 477) = ( 1 x 477 ) / 477
GCD(1, 477) = 477 / 477
GCD(1, 477) = 1
GCD of 502, 719, 21, 477 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 502, 719, 21, 477?
GCD of 502, 719, 21, 477 is 1
2. Where do I get the detailed procedure to find GCD of 502, 719, 21, 477?
You can find a detailed procedure to find GCD of 502, 719, 21, 477 on our page.
3. How to find GCD of 502, 719, 21, 477 on a calculator?
You can find the GCD of 502, 719, 21, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.