GCD of 600, 468, 300, 510 Calculator

Given Input numbers are 600, 468, 300, 510

In the factoring method, we have to find the divisors of all numbers

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

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 (600, 468, 300, 510) = 6.

Given numbers are 600, 468, 300, 510

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 510 are 2 x 3 x 5 x 17

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 600, 468, 300, 510 is 6.

Given numbers are 600, 468, 300, 510

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(600, 468) = 23400

GCD(600, 468) = ( 600 x 468 ) / 23400

= 600 / 468

= 600

Step2:

LCM(12, 300) = 300

GCD(12, 300) = ( 12 x 300 ) / 300

= 12 / 300

= 12

Step3:

LCM(12, 510) = 1020

GCD(12, 510) = ( 12 x 510 ) / 1020

= 12 / 510

= 12

So, Greatest Common Divisor of 600, 468, 300, 510 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 267, 792, 795
• GCD of 688, 366, 134, 656
• GCD of 744, 243, 645, 961
• GCD of 548, 162, 806, 677
• GCD of 562, 637, 974, 704

Given numbers are 600, 468, 300, 510
The greatest common divisor of numbers 600, 468, 300, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 468, 300, 510 is 6.

1. What is the GCD of 600, 468, 300, 510?

GCD of given numbers 600, 468, 300, 510 is 6

2. How to calculate the greatest common divisor of 600, 468, 300, 510?

We can find the highest common divisor of 600, 468, 300, 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 600, 468, 300, 510 i.e 6.

3. How can I use the GCD of 600, 468, 300, 510Calculator?

Out the numbers 600, 468, 300, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.