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 924, 472, 348, 586 i.e. 2 largest integer that divides all the numbers equally.
GCD of 924, 472, 348, 586 is 2
GCD(924, 472, 348, 586) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 472, 348, 586 is 2
GCD(924, 472, 348, 586) = 2
Given Input numbers are 924, 472, 348, 586
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 586
List of positive integer divisors of 586 that divides 586 without a remainder.
1, 2, 293, 586
Greatest Common Divisior
We found the divisors of 924, 472, 348, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 472, 348, 586 is 2.
Therefore, GCD of numbers 924, 472, 348, 586 is 2
Given Input Data is 924, 472, 348, 586
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 586 is 2 x 293
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(924, 472) = 109032
GCD(924, 472) = ( 924 x 472 ) / 109032
GCD(924, 472) = 436128 / 109032
GCD(924, 472) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 348
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 348) = 348
GCD(4, 348) = ( 4 x 348 ) / 348
GCD(4, 348) = 1392 / 348
GCD(4, 348) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 586
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 586) = 1172
GCD(4, 586) = ( 4 x 586 ) / 1172
GCD(4, 586) = 2344 / 1172
GCD(4, 586) = 2
GCD of 924, 472, 348, 586 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 924, 472, 348, 586?
GCD of 924, 472, 348, 586 is 2
2. Where do I get the detailed procedure to find GCD of 924, 472, 348, 586?
You can find a detailed procedure to find GCD of 924, 472, 348, 586 on our page.
3. How to find GCD of 924, 472, 348, 586 on a calculator?
You can find the GCD of 924, 472, 348, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.