Online GCD Calculator is useful to find the GCD of 384, 147, 570, 492 quickly. Get the easiest ways to solve the greatest common divisor of 384, 147, 570, 492 i.e 3 in different methods as follows.
Given Input numbers are 384, 147, 570, 492
In the factoring method, we have to find the divisors of all numbers
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
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
GCD of numbers is the greatest common divisor
So, the GCD (384, 147, 570, 492) = 3.
Given numbers are 384, 147, 570, 492
The list of prime factors of all numbers are
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 147 are 3 x 7 x 7
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 492 are 2 x 2 x 3 x 41
The highest common occurrence is 31
Therefore, GCD of 384, 147, 570, 492 is 3.
Given numbers are 384, 147, 570, 492
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 147) = 18816
GCD(384, 147) = ( 384 x 147 ) / 18816
= 384 / 147
= 384
Step2:
LCM(3, 570) = 570
GCD(3, 570) = ( 3 x 570 ) / 570
= 3 / 570
= 3
Step3:
LCM(3, 492) = 492
GCD(3, 492) = ( 3 x 492 ) / 492
= 3 / 492
= 3
So, Greatest Common Divisor of 384, 147, 570, 492 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 147, 570, 492
The greatest common divisor of numbers 384, 147, 570, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 147, 570, 492 is 3.
1. What is the GCD of 384, 147, 570, 492?
GCD of given numbers 384, 147, 570, 492 is 3
2. How to calculate the greatest common divisor of 384, 147, 570, 492?
We can find the highest common divisor of 384, 147, 570, 492 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 384, 147, 570, 492 i.e 3.
3. How can I use the GCD of 384, 147, 570, 492Calculator?
Out the numbers 384, 147, 570, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.