GCD of 824, 840, 324 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 824, 840, 324 quickly. Get the easiest ways to solve the greatest common divisor of 824, 840, 324 i.e 4 in different methods as follows.
Given Input numbers are 824, 840, 324
In the factoring method, we have to find the divisors of all numbers
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
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
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
GCD of numbers is the greatest common divisor
So, the GCD (824, 840, 324) = 4.
Given numbers are 824, 840, 324
The list of prime factors of all numbers are
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 824, 840, 324 is 4.
Steps to Calculate GCD of 824, 840, 324 using LCM Formula
Given numbers are 824, 840, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(824, 840) = 86520
GCD(824, 840) = ( 824 x 840 ) / 86520
= 824 / 840
= 824
Step2:
LCM(8, 324) = 648
GCD(8, 324) = ( 8 x 324 ) / 648
= 8 / 324
= 8
So, Greatest Common Divisor of 824, 840, 324 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 824, 840, 324
Given numbers are 824, 840, 324
The greatest common divisor of numbers 824, 840, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 840, 324 is 4.
FAQs on GCD of 824, 840, 324 Calculator
1. What is the GCD of 824, 840, 324?
GCD of given numbers 824, 840, 324 is 4
2. How to calculate the greatest common divisor of 824, 840, 324?
We can find the highest common divisor of 824, 840, 324 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 824, 840, 324 i.e 4.
3. How can I use the GCD of 824, 840, 324Calculator?
Out the numbers 824, 840, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.