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 824, 308, 924, 820 i.e. 4 largest integer that divides all the numbers equally.
GCD of 824, 308, 924, 820 is 4
GCD(824, 308, 924, 820) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 308, 924, 820 is 4
GCD(824, 308, 924, 820) = 4
Given Input numbers are 824, 308, 924, 820
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
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 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Greatest Common Divisior
We found the divisors of 824, 308, 924, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 308, 924, 820 is 4.
Therefore, GCD of numbers 824, 308, 924, 820 is 4
Given Input Data is 824, 308, 924, 820
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 820 is 2 x 2 x 5 x 41
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(824, 308) = 63448
GCD(824, 308) = ( 824 x 308 ) / 63448
GCD(824, 308) = 253792 / 63448
GCD(824, 308) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 924) = 924
GCD(4, 924) = ( 4 x 924 ) / 924
GCD(4, 924) = 3696 / 924
GCD(4, 924) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 820) = 820
GCD(4, 820) = ( 4 x 820 ) / 820
GCD(4, 820) = 3280 / 820
GCD(4, 820) = 4
GCD of 824, 308, 924, 820 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 308, 924, 820?
GCD of 824, 308, 924, 820 is 4
2. Where do I get the detailed procedure to find GCD of 824, 308, 924, 820?
You can find a detailed procedure to find GCD of 824, 308, 924, 820 on our page.
3. How to find GCD of 824, 308, 924, 820 on a calculator?
You can find the GCD of 824, 308, 924, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.