Online GCD Calculator is useful to find the GCD of 576, 996, 998, 238 quickly. Get the easiest ways to solve the greatest common divisor of 576, 996, 998, 238 i.e 2 in different methods as follows.
Given Input numbers are 576, 996, 998, 238
In the factoring method, we have to find the divisors of all numbers
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
GCD of numbers is the greatest common divisor
So, the GCD (576, 996, 998, 238) = 2.
Given numbers are 576, 996, 998, 238
The list of prime factors of all numbers are
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 998 are 2 x 499
Prime factors of 238 are 2 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 576, 996, 998, 238 is 2.
Given numbers are 576, 996, 998, 238
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(576, 996) = 47808
GCD(576, 996) = ( 576 x 996 ) / 47808
= 576 / 996
= 576
Step2:
LCM(12, 998) = 5988
GCD(12, 998) = ( 12 x 998 ) / 5988
= 12 / 998
= 12
Step3:
LCM(2, 238) = 238
GCD(2, 238) = ( 2 x 238 ) / 238
= 2 / 238
= 2
So, Greatest Common Divisor of 576, 996, 998, 238 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 576, 996, 998, 238
The greatest common divisor of numbers 576, 996, 998, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 996, 998, 238 is 2.
1. What is the GCD of 576, 996, 998, 238?
GCD of given numbers 576, 996, 998, 238 is 2
2. How to calculate the greatest common divisor of 576, 996, 998, 238?
We can find the highest common divisor of 576, 996, 998, 238 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 576, 996, 998, 238 i.e 2.
3. How can I use the GCD of 576, 996, 998, 238Calculator?
Out the numbers 576, 996, 998, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.