GCD of 924, 819, 462 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 924, 819, 462 quickly. Get the easiest ways to solve the greatest common divisor of 924, 819, 462 i.e 21 in different methods as follows.
Given Input numbers are 924, 819, 462
In the factoring method, we have to find the divisors of all numbers
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
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 819 :
The positive integer divisors of 819 that completely divides 819 are.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD of numbers is the greatest common divisor
So, the GCD (924, 819, 462) = 21.
Given numbers are 924, 819, 462
The list of prime factors of all numbers are
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 819 are 3 x 3 x 7 x 13
Prime factors of 462 are 2 x 3 x 7 x 11
The highest common occurrence is 31 x 71
Therefore, GCD of 924, 819, 462 is 21.
Steps to Calculate GCD of 924, 819, 462 using LCM Formula
Given numbers are 924, 819, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 819) = 36036
GCD(924, 819) = ( 924 x 819 ) / 36036
= 924 / 819
= 924
Step2:
LCM(21, 462) = 462
GCD(21, 462) = ( 21 x 462 ) / 462
= 21 / 462
= 21
So, Greatest Common Divisor of 924, 819, 462 is 21
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 924, 819, 462
Given numbers are 924, 819, 462
The greatest common divisor of numbers 924, 819, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 819, 462 is 21.
FAQs on GCD of 924, 819, 462 Calculator
1. What is the GCD of 924, 819, 462?
GCD of given numbers 924, 819, 462 is 21
2. How to calculate the greatest common divisor of 924, 819, 462?
We can find the highest common divisor of 924, 819, 462 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 924, 819, 462 i.e 21.
3. How can I use the GCD of 924, 819, 462Calculator?
Out the numbers 924, 819, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.