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 507, 753, 21 i.e. 3 largest integer that divides all the numbers equally.
GCD of 507, 753, 21 is 3
GCD(507, 753, 21) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 507, 753, 21 is 3
GCD(507, 753, 21) = 3
Given Input numbers are 507, 753, 21
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Greatest Common Divisior
We found the divisors of 507, 753, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 753, 21 is 3.
Therefore, GCD of numbers 507, 753, 21 is 3
Given Input Data is 507, 753, 21
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 753 is 3 x 251
Prime Factorization of 21 is 3 x 7
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(507, 753) = 127257
GCD(507, 753) = ( 507 x 753 ) / 127257
GCD(507, 753) = 381771 / 127257
GCD(507, 753) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 21) = 21
GCD(3, 21) = ( 3 x 21 ) / 21
GCD(3, 21) = 63 / 21
GCD(3, 21) = 3
GCD of 507, 753, 21 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 507, 753, 21?
GCD of 507, 753, 21 is 3
2. Where do I get the detailed procedure to find GCD of 507, 753, 21?
You can find a detailed procedure to find GCD of 507, 753, 21 on our page.
3. How to find GCD of 507, 753, 21 on a calculator?
You can find the GCD of 507, 753, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.