Online GCD Calculator is useful to find the GCD of 624, 332, 112, 108 quickly. Get the easiest ways to solve the greatest common divisor of 624, 332, 112, 108 i.e 4 in different methods as follows.
Given Input numbers are 624, 332, 112, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (624, 332, 112, 108) = 4.
Given numbers are 624, 332, 112, 108
The list of prime factors of all numbers are
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 332 are 2 x 2 x 83
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 624, 332, 112, 108 is 4.
Given numbers are 624, 332, 112, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(624, 332) = 51792
GCD(624, 332) = ( 624 x 332 ) / 51792
= 624 / 332
= 624
Step2:
LCM(4, 112) = 112
GCD(4, 112) = ( 4 x 112 ) / 112
= 4 / 112
= 4
Step3:
LCM(4, 108) = 108
GCD(4, 108) = ( 4 x 108 ) / 108
= 4 / 108
= 4
So, Greatest Common Divisor of 624, 332, 112, 108 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 624, 332, 112, 108
The greatest common divisor of numbers 624, 332, 112, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 332, 112, 108 is 4.
1. What is the GCD of 624, 332, 112, 108?
GCD of given numbers 624, 332, 112, 108 is 4
2. How to calculate the greatest common divisor of 624, 332, 112, 108?
We can find the highest common divisor of 624, 332, 112, 108 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 624, 332, 112, 108 i.e 4.
3. How can I use the GCD of 624, 332, 112, 108Calculator?
Out the numbers 624, 332, 112, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.