Online GCD Calculator is useful to find the GCD of 462, 558, 192, 948 quickly. Get the easiest ways to solve the greatest common divisor of 462, 558, 192, 948 i.e 6 in different methods as follows.
Given Input numbers are 462, 558, 192, 948
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 192 :
The positive integer divisors of 192 that completely divides 192 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
GCD of numbers is the greatest common divisor
So, the GCD (462, 558, 192, 948) = 6.
Given numbers are 462, 558, 192, 948
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 948 are 2 x 2 x 3 x 79
The highest common occurrence is 21 x 31
Therefore, GCD of 462, 558, 192, 948 is 6.
Given numbers are 462, 558, 192, 948
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 558) = 42966
GCD(462, 558) = ( 462 x 558 ) / 42966
= 462 / 558
= 462
Step2:
LCM(6, 192) = 192
GCD(6, 192) = ( 6 x 192 ) / 192
= 6 / 192
= 6
Step3:
LCM(6, 948) = 948
GCD(6, 948) = ( 6 x 948 ) / 948
= 6 / 948
= 6
So, Greatest Common Divisor of 462, 558, 192, 948 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 558, 192, 948
The greatest common divisor of numbers 462, 558, 192, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 558, 192, 948 is 6.
1. What is the GCD of 462, 558, 192, 948?
GCD of given numbers 462, 558, 192, 948 is 6
2. How to calculate the greatest common divisor of 462, 558, 192, 948?
We can find the highest common divisor of 462, 558, 192, 948 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 462, 558, 192, 948 i.e 6.
3. How can I use the GCD of 462, 558, 192, 948Calculator?
Out the numbers 462, 558, 192, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.