Online GCD Calculator is useful to find the GCD of 492, 681, 189, 327 quickly. Get the easiest ways to solve the greatest common divisor of 492, 681, 189, 327 i.e 3 in different methods as follows.
Given Input numbers are 492, 681, 189, 327
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 681 :
The positive integer divisors of 681 that completely divides 681 are.
1, 3, 227, 681
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
GCD of numbers is the greatest common divisor
So, the GCD (492, 681, 189, 327) = 3.
Given numbers are 492, 681, 189, 327
The list of prime factors of all numbers are
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 681 are 3 x 227
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 327 are 3 x 109
The highest common occurrence is 31
Therefore, GCD of 492, 681, 189, 327 is 3.
Given numbers are 492, 681, 189, 327
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(492, 681) = 111684
GCD(492, 681) = ( 492 x 681 ) / 111684
= 492 / 681
= 492
Step2:
LCM(3, 189) = 189
GCD(3, 189) = ( 3 x 189 ) / 189
= 3 / 189
= 3
Step3:
LCM(3, 327) = 327
GCD(3, 327) = ( 3 x 327 ) / 327
= 3 / 327
= 3
So, Greatest Common Divisor of 492, 681, 189, 327 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 492, 681, 189, 327
The greatest common divisor of numbers 492, 681, 189, 327 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 681, 189, 327 is 3.
1. What is the GCD of 492, 681, 189, 327?
GCD of given numbers 492, 681, 189, 327 is 3
2. How to calculate the greatest common divisor of 492, 681, 189, 327?
We can find the highest common divisor of 492, 681, 189, 327 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, 681, 189, 327 i.e 3.
3. How can I use the GCD of 492, 681, 189, 327Calculator?
Out the numbers 492, 681, 189, 327 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.