GCD of 510, 507, 696, 285 Calculator

Given Input numbers are 510, 507, 696, 285

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 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

GCD of numbers is the greatest common divisor

So, the GCD (510, 507, 696, 285) = 3.

Given numbers are 510, 507, 696, 285

The list of prime factors of all numbers are

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

Prime factors of 507 are 3 x 13 x 13

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 285 are 3 x 5 x 19

The highest common occurrence is 3¹

Therefore, GCD of 510, 507, 696, 285 is 3.

Given numbers are 510, 507, 696, 285

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

Apply this formula for all numbers.

Step1:

LCM(510, 507) = 86190

GCD(510, 507) = ( 510 x 507 ) / 86190

= 510 / 507

= 510

Step2:

LCM(3, 696) = 696

GCD(3, 696) = ( 3 x 696 ) / 696

= 3 / 696

= 3

Step3:

LCM(3, 285) = 285

GCD(3, 285) = ( 3 x 285 ) / 285

= 3 / 285

= 3

So, Greatest Common Divisor of 510, 507, 696, 285 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 716, 823, 823
• GCD of 635, 626, 811, 742
• GCD of 247, 916, 402, 752
• GCD of 283, 438, 351, 394
• GCD of 324, 333, 345, 596

Given numbers are 510, 507, 696, 285
The greatest common divisor of numbers 510, 507, 696, 285 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 507, 696, 285 is 3.

1. What is the GCD of 510, 507, 696, 285?

GCD of given numbers 510, 507, 696, 285 is 3

2. How to calculate the greatest common divisor of 510, 507, 696, 285?

We can find the highest common divisor of 510, 507, 696, 285 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, 507, 696, 285 i.e 3.

3. How can I use the GCD of 510, 507, 696, 285Calculator?

Out the numbers 510, 507, 696, 285 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.