Online GCD Calculator is useful to find the GCD of 492, 382, 394, 968 quickly. Get the easiest ways to solve the greatest common divisor of 492, 382, 394, 968 i.e 2 in different methods as follows.
Given Input numbers are 492, 382, 394, 968
In the factoring method, we have to find the divisors of all numbers
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
GCD of numbers is the greatest common divisor
So, the GCD (492, 382, 394, 968) = 2.
Given numbers are 492, 382, 394, 968
The list of prime factors of all numbers are
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 382 are 2 x 191
Prime factors of 394 are 2 x 197
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
The highest common occurrence is 21
Therefore, GCD of 492, 382, 394, 968 is 2.
Given numbers are 492, 382, 394, 968
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(492, 382) = 93972
GCD(492, 382) = ( 492 x 382 ) / 93972
= 492 / 382
= 492
Step2:
LCM(2, 394) = 394
GCD(2, 394) = ( 2 x 394 ) / 394
= 2 / 394
= 2
Step3:
LCM(2, 968) = 968
GCD(2, 968) = ( 2 x 968 ) / 968
= 2 / 968
= 2
So, Greatest Common Divisor of 492, 382, 394, 968 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 492, 382, 394, 968
The greatest common divisor of numbers 492, 382, 394, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 382, 394, 968 is 2.
1. What is the GCD of 492, 382, 394, 968?
GCD of given numbers 492, 382, 394, 968 is 2
2. How to calculate the greatest common divisor of 492, 382, 394, 968?
We can find the highest common divisor of 492, 382, 394, 968 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 492, 382, 394, 968 i.e 2.
3. How can I use the GCD of 492, 382, 394, 968Calculator?
Out the numbers 492, 382, 394, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.