Online GCD Calculator is useful to find the GCD of 105, 444, 687, 372 quickly. Get the easiest ways to solve the greatest common divisor of 105, 444, 687, 372 i.e 3 in different methods as follows.
Given Input numbers are 105, 444, 687, 372
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
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
GCD of numbers is the greatest common divisor
So, the GCD (105, 444, 687, 372) = 3.
Given numbers are 105, 444, 687, 372
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 687 are 3 x 229
Prime factors of 372 are 2 x 2 x 3 x 31
The highest common occurrence is 31
Therefore, GCD of 105, 444, 687, 372 is 3.
Given numbers are 105, 444, 687, 372
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 444) = 15540
GCD(105, 444) = ( 105 x 444 ) / 15540
= 105 / 444
= 105
Step2:
LCM(3, 687) = 687
GCD(3, 687) = ( 3 x 687 ) / 687
= 3 / 687
= 3
Step3:
LCM(3, 372) = 372
GCD(3, 372) = ( 3 x 372 ) / 372
= 3 / 372
= 3
So, Greatest Common Divisor of 105, 444, 687, 372 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 444, 687, 372
The greatest common divisor of numbers 105, 444, 687, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 444, 687, 372 is 3.
1. What is the GCD of 105, 444, 687, 372?
GCD of given numbers 105, 444, 687, 372 is 3
2. How to calculate the greatest common divisor of 105, 444, 687, 372?
We can find the highest common divisor of 105, 444, 687, 372 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 105, 444, 687, 372 i.e 3.
3. How can I use the GCD of 105, 444, 687, 372Calculator?
Out the numbers 105, 444, 687, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.