Online GCD Calculator is useful to find the GCD of 324, 398, 988, 510 quickly. Get the easiest ways to solve the greatest common divisor of 324, 398, 988, 510 i.e 2 in different methods as follows.
Given Input numbers are 324, 398, 988, 510
In the factoring method, we have to find the divisors of all numbers
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 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
GCD of numbers is the greatest common divisor
So, the GCD (324, 398, 988, 510) = 2.
Given numbers are 324, 398, 988, 510
The list of prime factors of all numbers are
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 398 are 2 x 199
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 510 are 2 x 3 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 324, 398, 988, 510 is 2.
Given numbers are 324, 398, 988, 510
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 398) = 64476
GCD(324, 398) = ( 324 x 398 ) / 64476
= 324 / 398
= 324
Step2:
LCM(2, 988) = 988
GCD(2, 988) = ( 2 x 988 ) / 988
= 2 / 988
= 2
Step3:
LCM(2, 510) = 510
GCD(2, 510) = ( 2 x 510 ) / 510
= 2 / 510
= 2
So, Greatest Common Divisor of 324, 398, 988, 510 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 324, 398, 988, 510
The greatest common divisor of numbers 324, 398, 988, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 398, 988, 510 is 2.
1. What is the GCD of 324, 398, 988, 510?
GCD of given numbers 324, 398, 988, 510 is 2
2. How to calculate the greatest common divisor of 324, 398, 988, 510?
We can find the highest common divisor of 324, 398, 988, 510 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 324, 398, 988, 510 i.e 2.
3. How can I use the GCD of 324, 398, 988, 510Calculator?
Out the numbers 324, 398, 988, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.