Online GCD Calculator is useful to find the GCD of 924, 438, 423 quickly. Get the easiest ways to solve the greatest common divisor of 924, 438, 423 i.e 3 in different methods as follows.
Given Input numbers are 924, 438, 423
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 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
GCD of numbers is the greatest common divisor
So, the GCD (924, 438, 423) = 3.
Given numbers are 924, 438, 423
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 438 are 2 x 3 x 73
Prime factors of 423 are 3 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 924, 438, 423 is 3.
Given numbers are 924, 438, 423
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 438) = 67452
GCD(924, 438) = ( 924 x 438 ) / 67452
= 924 / 438
= 924
Step2:
LCM(6, 423) = 846
GCD(6, 423) = ( 6 x 423 ) / 846
= 6 / 423
= 6
So, Greatest Common Divisor of 924, 438, 423 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 924, 438, 423
The greatest common divisor of numbers 924, 438, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 438, 423 is 3.
1. What is the GCD of 924, 438, 423?
GCD of given numbers 924, 438, 423 is 3
2. How to calculate the greatest common divisor of 924, 438, 423?
We can find the highest common divisor of 924, 438, 423 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, 438, 423 i.e 3.
3. How can I use the GCD of 924, 438, 423Calculator?
Out the numbers 924, 438, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.