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 630, 504, 276 i.e. 6 largest integer that divides all the numbers equally.
GCD of 630, 504, 276 is 6
GCD(630, 504, 276) = 6
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 630, 504, 276 is 6
GCD(630, 504, 276) = 6
Given Input numbers are 630, 504, 276
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 630
List of positive integer divisors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Greatest Common Divisior
We found the divisors of 630, 504, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 504, 276 is 6.
Therefore, GCD of numbers 630, 504, 276 is 6
Given Input Data is 630, 504, 276
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
Prime Factorization of 276 is 2 x 2 x 3 x 23
Highest common occurrences in the given inputs are 21 x 31
Multiplying them we get the GCD as 6
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(630, 504) = 2520
GCD(630, 504) = ( 630 x 504 ) / 2520
GCD(630, 504) = 317520 / 2520
GCD(630, 504) = 126
Step2:
Here we consider the GCD from the above i.e. 126 as first number and the next as 276
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(126, 276) = 5796
GCD(126, 276) = ( 126 x 276 ) / 5796
GCD(126, 276) = 34776 / 5796
GCD(126, 276) = 6
GCD of 630, 504, 276 is 6
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 630, 504, 276?
GCD of 630, 504, 276 is 6
2. Where do I get the detailed procedure to find GCD of 630, 504, 276?
You can find a detailed procedure to find GCD of 630, 504, 276 on our page.
3. How to find GCD of 630, 504, 276 on a calculator?
You can find the GCD of 630, 504, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.