GCD of 518, 432, 342, 300 Calculator

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.

• GCD of 910, 808, 460, 849
• GCD of 436, 321, 467, 854
• GCD of 469, 813, 396, 951
• GCD of 826, 584, 212, 773
• GCD of 716, 822, 981, 542

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.