Online GCD Calculator is useful to find the GCD of 488, 136, 598, 192 quickly. Get the easiest ways to solve the greatest common divisor of 488, 136, 598, 192 i.e 2 in different methods as follows.
Given Input numbers are 488, 136, 598, 192
In the factoring method, we have to find the divisors of all numbers
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 598 :
The positive integer divisors of 598 that completely divides 598 are.
1, 2, 13, 23, 26, 46, 299, 598
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
GCD of numbers is the greatest common divisor
So, the GCD (488, 136, 598, 192) = 2.
Given numbers are 488, 136, 598, 192
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 598 are 2 x 13 x 23
Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 21
Therefore, GCD of 488, 136, 598, 192 is 2.
Given numbers are 488, 136, 598, 192
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 136) = 8296
GCD(488, 136) = ( 488 x 136 ) / 8296
= 488 / 136
= 488
Step2:
LCM(8, 598) = 2392
GCD(8, 598) = ( 8 x 598 ) / 2392
= 8 / 598
= 8
Step3:
LCM(2, 192) = 192
GCD(2, 192) = ( 2 x 192 ) / 192
= 2 / 192
= 2
So, Greatest Common Divisor of 488, 136, 598, 192 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 136, 598, 192
The greatest common divisor of numbers 488, 136, 598, 192 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 136, 598, 192 is 2.
1. What is the GCD of 488, 136, 598, 192?
GCD of given numbers 488, 136, 598, 192 is 2
2. How to calculate the greatest common divisor of 488, 136, 598, 192?
We can find the highest common divisor of 488, 136, 598, 192 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 488, 136, 598, 192 i.e 2.
3. How can I use the GCD of 488, 136, 598, 192Calculator?
Out the numbers 488, 136, 598, 192 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.