Online GCD Calculator is useful to find the GCD of 894, 636, 118, 204 quickly. Get the easiest ways to solve the greatest common divisor of 894, 636, 118, 204 i.e 2 in different methods as follows.
Given Input numbers are 894, 636, 118, 204
In the factoring method, we have to find the divisors of all numbers
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
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
GCD of numbers is the greatest common divisor
So, the GCD (894, 636, 118, 204) = 2.
Given numbers are 894, 636, 118, 204
The list of prime factors of all numbers are
Prime factors of 894 are 2 x 3 x 149
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 118 are 2 x 59
Prime factors of 204 are 2 x 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 894, 636, 118, 204 is 2.
Given numbers are 894, 636, 118, 204
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(894, 636) = 94764
GCD(894, 636) = ( 894 x 636 ) / 94764
= 894 / 636
= 894
Step2:
LCM(6, 118) = 354
GCD(6, 118) = ( 6 x 118 ) / 354
= 6 / 118
= 6
Step3:
LCM(2, 204) = 204
GCD(2, 204) = ( 2 x 204 ) / 204
= 2 / 204
= 2
So, Greatest Common Divisor of 894, 636, 118, 204 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 894, 636, 118, 204
The greatest common divisor of numbers 894, 636, 118, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 636, 118, 204 is 2.
1. What is the GCD of 894, 636, 118, 204?
GCD of given numbers 894, 636, 118, 204 is 2
2. How to calculate the greatest common divisor of 894, 636, 118, 204?
We can find the highest common divisor of 894, 636, 118, 204 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 894, 636, 118, 204 i.e 2.
3. How can I use the GCD of 894, 636, 118, 204Calculator?
Out the numbers 894, 636, 118, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.