Online GCD Calculator is useful to find the GCD of 998, 338, 324, 220 quickly. Get the easiest ways to solve the greatest common divisor of 998, 338, 324, 220 i.e 2 in different methods as follows.
Given Input numbers are 998, 338, 324, 220
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 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
GCD of numbers is the greatest common divisor
So, the GCD (998, 338, 324, 220) = 2.
Given numbers are 998, 338, 324, 220
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 338 are 2 x 13 x 13
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 220 are 2 x 2 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 998, 338, 324, 220 is 2.
Given numbers are 998, 338, 324, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 338) = 168662
GCD(998, 338) = ( 998 x 338 ) / 168662
= 998 / 338
= 998
Step2:
LCM(2, 324) = 324
GCD(2, 324) = ( 2 x 324 ) / 324
= 2 / 324
= 2
Step3:
LCM(2, 220) = 220
GCD(2, 220) = ( 2 x 220 ) / 220
= 2 / 220
= 2
So, Greatest Common Divisor of 998, 338, 324, 220 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 338, 324, 220
The greatest common divisor of numbers 998, 338, 324, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 338, 324, 220 is 2.
1. What is the GCD of 998, 338, 324, 220?
GCD of given numbers 998, 338, 324, 220 is 2
2. How to calculate the greatest common divisor of 998, 338, 324, 220?
We can find the highest common divisor of 998, 338, 324, 220 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, 338, 324, 220 i.e 2.
3. How can I use the GCD of 998, 338, 324, 220Calculator?
Out the numbers 998, 338, 324, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.