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 462, 406, 276, 584 i.e. 2 largest integer that divides all the numbers equally.
GCD of 462, 406, 276, 584 is 2
GCD(462, 406, 276, 584) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 462, 406, 276, 584 is 2
GCD(462, 406, 276, 584) = 2
Given Input numbers are 462, 406, 276, 584
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
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 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
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Greatest Common Divisior
We found the divisors of 462, 406, 276, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 406, 276, 584 is 2.
Therefore, GCD of numbers 462, 406, 276, 584 is 2
Given Input Data is 462, 406, 276, 584
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 584 is 2 x 2 x 2 x 73
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(462, 406) = 13398
GCD(462, 406) = ( 462 x 406 ) / 13398
GCD(462, 406) = 187572 / 13398
GCD(462, 406) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 276
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 276) = 1932
GCD(14, 276) = ( 14 x 276 ) / 1932
GCD(14, 276) = 3864 / 1932
GCD(14, 276) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 584
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 584) = 584
GCD(2, 584) = ( 2 x 584 ) / 584
GCD(2, 584) = 1168 / 584
GCD(2, 584) = 2
GCD of 462, 406, 276, 584 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 462, 406, 276, 584?
GCD of 462, 406, 276, 584 is 2
2. Where do I get the detailed procedure to find GCD of 462, 406, 276, 584?
You can find a detailed procedure to find GCD of 462, 406, 276, 584 on our page.
3. How to find GCD of 462, 406, 276, 584 on a calculator?
You can find the GCD of 462, 406, 276, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.