Online GCD Calculator is useful to find the GCD of 432, 104, 900, 646 quickly. Get the easiest ways to solve the greatest common divisor of 432, 104, 900, 646 i.e 2 in different methods as follows.
Given Input numbers are 432, 104, 900, 646
In the factoring method, we have to find the divisors of all numbers
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
GCD of numbers is the greatest common divisor
So, the GCD (432, 104, 900, 646) = 2.
Given numbers are 432, 104, 900, 646
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 646 are 2 x 17 x 19
The highest common occurrence is 21
Therefore, GCD of 432, 104, 900, 646 is 2.
Given numbers are 432, 104, 900, 646
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 104) = 5616
GCD(432, 104) = ( 432 x 104 ) / 5616
= 432 / 104
= 432
Step2:
LCM(8, 900) = 1800
GCD(8, 900) = ( 8 x 900 ) / 1800
= 8 / 900
= 8
Step3:
LCM(4, 646) = 1292
GCD(4, 646) = ( 4 x 646 ) / 1292
= 4 / 646
= 4
So, Greatest Common Divisor of 432, 104, 900, 646 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 104, 900, 646
The greatest common divisor of numbers 432, 104, 900, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 104, 900, 646 is 2.
1. What is the GCD of 432, 104, 900, 646?
GCD of given numbers 432, 104, 900, 646 is 2
2. How to calculate the greatest common divisor of 432, 104, 900, 646?
We can find the highest common divisor of 432, 104, 900, 646 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 432, 104, 900, 646 i.e 2.
3. How can I use the GCD of 432, 104, 900, 646Calculator?
Out the numbers 432, 104, 900, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.