GCD of 510, 480, 468, 580 Calculator

Given Input numbers are 510, 480, 468, 580

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

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD of numbers is the greatest common divisor

So, the GCD (510, 480, 468, 580) = 2.

Given numbers are 510, 480, 468, 580

The list of prime factors of all numbers are

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

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Prime factors of 580 are 2 x 2 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 510, 480, 468, 580 is 2.

Given numbers are 510, 480, 468, 580

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

Apply this formula for all numbers.

Step1:

LCM(510, 480) = 8160

GCD(510, 480) = ( 510 x 480 ) / 8160

= 510 / 480

= 510

Step2:

LCM(30, 468) = 2340

GCD(30, 468) = ( 30 x 468 ) / 2340

= 30 / 468

= 30

Step3:

LCM(6, 580) = 1740

GCD(6, 580) = ( 6 x 580 ) / 1740

= 6 / 580

= 6

So, Greatest Common Divisor of 510, 480, 468, 580 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 807, 683, 908
• GCD of 367, 160, 460, 413
• GCD of 706, 771, 830, 956
• GCD of 813, 378, 818, 739
• GCD of 374, 632, 678, 741

Given numbers are 510, 480, 468, 580
The greatest common divisor of numbers 510, 480, 468, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 480, 468, 580 is 2.

1. What is the GCD of 510, 480, 468, 580?

GCD of given numbers 510, 480, 468, 580 is 2

2. How to calculate the greatest common divisor of 510, 480, 468, 580?

We can find the highest common divisor of 510, 480, 468, 580 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 510, 480, 468, 580 i.e 2.

3. How can I use the GCD of 510, 480, 468, 580Calculator?

Out the numbers 510, 480, 468, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.