Online GCD Calculator is useful to find the GCD of 518, 432, 342, 300 quickly. Get the easiest ways to solve the greatest common divisor of 518, 432, 342, 300 i.e 2 in different methods as follows.
Given Input numbers are 518, 432, 342, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (518, 432, 342, 300) = 2.
Given numbers are 518, 432, 342, 300
The list of prime factors of all numbers are
Prime factors of 518 are 2 x 7 x 37
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 518, 432, 342, 300 is 2.
Given numbers are 518, 432, 342, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(518, 432) = 111888
GCD(518, 432) = ( 518 x 432 ) / 111888
= 518 / 432
= 518
Step2:
LCM(2, 342) = 342
GCD(2, 342) = ( 2 x 342 ) / 342
= 2 / 342
= 2
Step3:
LCM(2, 300) = 300
GCD(2, 300) = ( 2 x 300 ) / 300
= 2 / 300
= 2
So, Greatest Common Divisor of 518, 432, 342, 300 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 518, 432, 342, 300
The greatest common divisor of numbers 518, 432, 342, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 432, 342, 300 is 2.
1. What is the GCD of 518, 432, 342, 300?
GCD of given numbers 518, 432, 342, 300 is 2
2. How to calculate the greatest common divisor of 518, 432, 342, 300?
We can find the highest common divisor of 518, 432, 342, 300 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 518, 432, 342, 300 i.e 2.
3. How can I use the GCD of 518, 432, 342, 300Calculator?
Out the numbers 518, 432, 342, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.