Online GCD Calculator is useful to find the GCD of 840, 204, 444, 939 quickly. Get the easiest ways to solve the greatest common divisor of 840, 204, 444, 939 i.e 3 in different methods as follows.
Given Input numbers are 840, 204, 444, 939
In the factoring method, we have to find the divisors of all numbers
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
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 939 :
The positive integer divisors of 939 that completely divides 939 are.
1, 3, 313, 939
GCD of numbers is the greatest common divisor
So, the GCD (840, 204, 444, 939) = 3.
Given numbers are 840, 204, 444, 939
The list of prime factors of all numbers are
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 939 are 3 x 313
The highest common occurrence is 31
Therefore, GCD of 840, 204, 444, 939 is 3.
Given numbers are 840, 204, 444, 939
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(840, 204) = 14280
GCD(840, 204) = ( 840 x 204 ) / 14280
= 840 / 204
= 840
Step2:
LCM(12, 444) = 444
GCD(12, 444) = ( 12 x 444 ) / 444
= 12 / 444
= 12
Step3:
LCM(12, 939) = 3756
GCD(12, 939) = ( 12 x 939 ) / 3756
= 12 / 939
= 12
So, Greatest Common Divisor of 840, 204, 444, 939 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 840, 204, 444, 939
The greatest common divisor of numbers 840, 204, 444, 939 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 204, 444, 939 is 3.
1. What is the GCD of 840, 204, 444, 939?
GCD of given numbers 840, 204, 444, 939 is 3
2. How to calculate the greatest common divisor of 840, 204, 444, 939?
We can find the highest common divisor of 840, 204, 444, 939 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 840, 204, 444, 939 i.e 3.
3. How can I use the GCD of 840, 204, 444, 939Calculator?
Out the numbers 840, 204, 444, 939 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.