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 624, 369, 267, 807 i.e. 3 largest integer that divides all the numbers equally.
GCD of 624, 369, 267, 807 is 3
GCD(624, 369, 267, 807) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 624, 369, 267, 807 is 3
GCD(624, 369, 267, 807) = 3
Given Input numbers are 624, 369, 267, 807
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Greatest Common Divisior
We found the divisors of 624, 369, 267, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 369, 267, 807 is 3.
Therefore, GCD of numbers 624, 369, 267, 807 is 3
Given Input Data is 624, 369, 267, 807
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 267 is 3 x 89
Prime Factorization of 807 is 3 x 269
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(624, 369) = 76752
GCD(624, 369) = ( 624 x 369 ) / 76752
GCD(624, 369) = 230256 / 76752
GCD(624, 369) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 267) = 267
GCD(3, 267) = ( 3 x 267 ) / 267
GCD(3, 267) = 801 / 267
GCD(3, 267) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 807
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 807) = 807
GCD(3, 807) = ( 3 x 807 ) / 807
GCD(3, 807) = 2421 / 807
GCD(3, 807) = 3
GCD of 624, 369, 267, 807 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 624, 369, 267, 807?
GCD of 624, 369, 267, 807 is 3
2. Where do I get the detailed procedure to find GCD of 624, 369, 267, 807?
You can find a detailed procedure to find GCD of 624, 369, 267, 807 on our page.
3. How to find GCD of 624, 369, 267, 807 on a calculator?
You can find the GCD of 624, 369, 267, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.