Online GCD Calculator is useful to find the GCD of 342, 908, 24 quickly. Get the easiest ways to solve the greatest common divisor of 342, 908, 24 i.e 2 in different methods as follows.
Given Input numbers are 342, 908, 24
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
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 (342, 908, 24) = 2.
Given numbers are 342, 908, 24
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 908 are 2 x 2 x 227
Prime factors of 24 are 2 x 2 x 2 x 3
The highest common occurrence is 21
Therefore, GCD of 342, 908, 24 is 2.
Given numbers are 342, 908, 24
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 908) = 155268
GCD(342, 908) = ( 342 x 908 ) / 155268
= 342 / 908
= 342
Step2:
LCM(2, 24) = 24
GCD(2, 24) = ( 2 x 24 ) / 24
= 2 / 24
= 2
So, Greatest Common Divisor of 342, 908, 24 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 908, 24
The greatest common divisor of numbers 342, 908, 24 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 908, 24 is 2.
1. What is the GCD of 342, 908, 24?
GCD of given numbers 342, 908, 24 is 2
2. How to calculate the greatest common divisor of 342, 908, 24?
We can find the highest common divisor of 342, 908, 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 342, 908, 24 i.e 2.
3. How can I use the GCD of 342, 908, 24Calculator?
Out the numbers 342, 908, 24 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.