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, 458, 246, 840 i.e. 2 largest integer that divides all the numbers equally.
GCD of 324, 458, 246, 840 is 2
GCD(324, 458, 246, 840) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 458, 246, 840 is 2
GCD(324, 458, 246, 840) = 2
Given Input numbers are 324, 458, 246, 840
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 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Divisors of 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Greatest Common Divisior
We found the divisors of 324, 458, 246, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 458, 246, 840 is 2.
Therefore, GCD of numbers 324, 458, 246, 840 is 2
Given Input Data is 324, 458, 246, 840
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 458 is 2 x 229
Prime Factorization of 246 is 2 x 3 x 41
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
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(324, 458) = 74196
GCD(324, 458) = ( 324 x 458 ) / 74196
GCD(324, 458) = 148392 / 74196
GCD(324, 458) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 246
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 246) = 246
GCD(2, 246) = ( 2 x 246 ) / 246
GCD(2, 246) = 492 / 246
GCD(2, 246) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 840
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 840) = 840
GCD(2, 840) = ( 2 x 840 ) / 840
GCD(2, 840) = 1680 / 840
GCD(2, 840) = 2
GCD of 324, 458, 246, 840 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 324, 458, 246, 840?
GCD of 324, 458, 246, 840 is 2
2. Where do I get the detailed procedure to find GCD of 324, 458, 246, 840?
You can find a detailed procedure to find GCD of 324, 458, 246, 840 on our page.
3. How to find GCD of 324, 458, 246, 840 on a calculator?
You can find the GCD of 324, 458, 246, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.