Online GCD Calculator is useful to find the GCD of 998, 592, 996, 982 quickly. Get the easiest ways to solve the greatest common divisor of 998, 592, 996, 982 i.e 2 in different methods as follows.
Given Input numbers are 998, 592, 996, 982
In the factoring method, we have to find the divisors of all numbers
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 592 :
The positive integer divisors of 592 that completely divides 592 are.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
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 982 :
The positive integer divisors of 982 that completely divides 982 are.
1, 2, 491, 982
GCD of numbers is the greatest common divisor
So, the GCD (998, 592, 996, 982) = 2.
Given numbers are 998, 592, 996, 982
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 592 are 2 x 2 x 2 x 2 x 37
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 982 are 2 x 491
The highest common occurrence is 21
Therefore, GCD of 998, 592, 996, 982 is 2.
Given numbers are 998, 592, 996, 982
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 592) = 295408
GCD(998, 592) = ( 998 x 592 ) / 295408
= 998 / 592
= 998
Step2:
LCM(2, 996) = 996
GCD(2, 996) = ( 2 x 996 ) / 996
= 2 / 996
= 2
Step3:
LCM(2, 982) = 982
GCD(2, 982) = ( 2 x 982 ) / 982
= 2 / 982
= 2
So, Greatest Common Divisor of 998, 592, 996, 982 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 592, 996, 982
The greatest common divisor of numbers 998, 592, 996, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 592, 996, 982 is 2.
1. What is the GCD of 998, 592, 996, 982?
GCD of given numbers 998, 592, 996, 982 is 2
2. How to calculate the greatest common divisor of 998, 592, 996, 982?
We can find the highest common divisor of 998, 592, 996, 982 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 998, 592, 996, 982 i.e 2.
3. How can I use the GCD of 998, 592, 996, 982Calculator?
Out the numbers 998, 592, 996, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.