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 324, 801, 48, 858 i.e. 3 largest integer that divides all the numbers equally.
GCD of 324, 801, 48, 858 is 3
GCD(324, 801, 48, 858) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 801, 48, 858 is 3
GCD(324, 801, 48, 858) = 3
Given Input numbers are 324, 801, 48, 858
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Greatest Common Divisior
We found the divisors of 324, 801, 48, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 801, 48, 858 is 3.
Therefore, GCD of numbers 324, 801, 48, 858 is 3
Given Input Data is 324, 801, 48, 858
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 858 is 2 x 3 x 11 x 13
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(324, 801) = 28836
GCD(324, 801) = ( 324 x 801 ) / 28836
GCD(324, 801) = 259524 / 28836
GCD(324, 801) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 48) = 144
GCD(9, 48) = ( 9 x 48 ) / 144
GCD(9, 48) = 432 / 144
GCD(9, 48) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 858
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 858) = 858
GCD(3, 858) = ( 3 x 858 ) / 858
GCD(3, 858) = 2574 / 858
GCD(3, 858) = 3
GCD of 324, 801, 48, 858 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 324, 801, 48, 858?
GCD of 324, 801, 48, 858 is 3
2. Where do I get the detailed procedure to find GCD of 324, 801, 48, 858?
You can find a detailed procedure to find GCD of 324, 801, 48, 858 on our page.
3. How to find GCD of 324, 801, 48, 858 on a calculator?
You can find the GCD of 324, 801, 48, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.