Online GCD Calculator is useful to find the GCD of 372, 423, 24 quickly. Get the easiest ways to solve the greatest common divisor of 372, 423, 24 i.e 3 in different methods as follows.
Given Input numbers are 372, 423, 24
In the factoring method, we have to find the divisors of all numbers
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 24 :
The positive integer divisors of 24 that completely divides 24 are.
1, 2, 3, 4, 6, 8, 12, 24
GCD of numbers is the greatest common divisor
So, the GCD (372, 423, 24) = 3.
Given numbers are 372, 423, 24
The list of prime factors of all numbers are
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 423 are 3 x 3 x 47
Prime factors of 24 are 2 x 2 x 2 x 3
The highest common occurrence is 31
Therefore, GCD of 372, 423, 24 is 3.
Given numbers are 372, 423, 24
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(372, 423) = 52452
GCD(372, 423) = ( 372 x 423 ) / 52452
= 372 / 423
= 372
Step2:
LCM(3, 24) = 24
GCD(3, 24) = ( 3 x 24 ) / 24
= 3 / 24
= 3
So, Greatest Common Divisor of 372, 423, 24 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 372, 423, 24
The greatest common divisor of numbers 372, 423, 24 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 423, 24 is 3.
1. What is the GCD of 372, 423, 24?
GCD of given numbers 372, 423, 24 is 3
2. How to calculate the greatest common divisor of 372, 423, 24?
We can find the highest common divisor of 372, 423, 24 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 372, 423, 24 i.e 3.
3. How can I use the GCD of 372, 423, 24Calculator?
Out the numbers 372, 423, 24 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.