Online GCD Calculator is useful to find the GCD of 894, 954, 382, 144 quickly. Get the easiest ways to solve the greatest common divisor of 894, 954, 382, 144 i.e 2 in different methods as follows.
Given Input numbers are 894, 954, 382, 144
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 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (894, 954, 382, 144) = 2.
Given numbers are 894, 954, 382, 144
The list of prime factors of all numbers are
Prime factors of 894 are 2 x 3 x 149
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 382 are 2 x 191
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 894, 954, 382, 144 is 2.
Given numbers are 894, 954, 382, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(894, 954) = 142146
GCD(894, 954) = ( 894 x 954 ) / 142146
= 894 / 954
= 894
Step2:
LCM(6, 382) = 1146
GCD(6, 382) = ( 6 x 382 ) / 1146
= 6 / 382
= 6
Step3:
LCM(2, 144) = 144
GCD(2, 144) = ( 2 x 144 ) / 144
= 2 / 144
= 2
So, Greatest Common Divisor of 894, 954, 382, 144 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 894, 954, 382, 144
The greatest common divisor of numbers 894, 954, 382, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 954, 382, 144 is 2.
1. What is the GCD of 894, 954, 382, 144?
GCD of given numbers 894, 954, 382, 144 is 2
2. How to calculate the greatest common divisor of 894, 954, 382, 144?
We can find the highest common divisor of 894, 954, 382, 144 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, 954, 382, 144 i.e 2.
3. How can I use the GCD of 894, 954, 382, 144Calculator?
Out the numbers 894, 954, 382, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.