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 406, 774, 624, 248 i.e. 2 largest integer that divides all the numbers equally.
GCD of 406, 774, 624, 248 is 2
GCD(406, 774, 624, 248) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 406, 774, 624, 248 is 2
GCD(406, 774, 624, 248) = 2
Given Input numbers are 406, 774, 624, 248
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
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 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Greatest Common Divisior
We found the divisors of 406, 774, 624, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 774, 624, 248 is 2.
Therefore, GCD of numbers 406, 774, 624, 248 is 2
Given Input Data is 406, 774, 624, 248
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 248 is 2 x 2 x 2 x 31
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(406, 774) = 157122
GCD(406, 774) = ( 406 x 774 ) / 157122
GCD(406, 774) = 314244 / 157122
GCD(406, 774) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 624) = 624
GCD(2, 624) = ( 2 x 624 ) / 624
GCD(2, 624) = 1248 / 624
GCD(2, 624) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 248
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 248) = 248
GCD(2, 248) = ( 2 x 248 ) / 248
GCD(2, 248) = 496 / 248
GCD(2, 248) = 2
GCD of 406, 774, 624, 248 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 406, 774, 624, 248?
GCD of 406, 774, 624, 248 is 2
2. Where do I get the detailed procedure to find GCD of 406, 774, 624, 248?
You can find a detailed procedure to find GCD of 406, 774, 624, 248 on our page.
3. How to find GCD of 406, 774, 624, 248 on a calculator?
You can find the GCD of 406, 774, 624, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.