GCD of 510, 399, 798, 687 Calculator

Given Input numbers are 510, 399, 798, 687

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 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (510, 399, 798, 687) = 3.

Given numbers are 510, 399, 798, 687

The list of prime factors of all numbers are

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

Prime factors of 399 are 3 x 7 x 19

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 687 are 3 x 229

The highest common occurrence is 3¹

Therefore, GCD of 510, 399, 798, 687 is 3.

Given numbers are 510, 399, 798, 687

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

Apply this formula for all numbers.

Step1:

LCM(510, 399) = 67830

GCD(510, 399) = ( 510 x 399 ) / 67830

= 510 / 399

= 510

Step2:

LCM(3, 798) = 798

GCD(3, 798) = ( 3 x 798 ) / 798

= 3 / 798

= 3

Step3:

LCM(3, 687) = 687

GCD(3, 687) = ( 3 x 687 ) / 687

= 3 / 687

= 3

So, Greatest Common Divisor of 510, 399, 798, 687 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 654, 366, 568
• GCD of 758, 217, 894, 336
• GCD of 150, 431, 696, 313
• GCD of 100, 536, 747, 781
• GCD of 686, 621, 451, 458

Given numbers are 510, 399, 798, 687
The greatest common divisor of numbers 510, 399, 798, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 399, 798, 687 is 3.

1. What is the GCD of 510, 399, 798, 687?

GCD of given numbers 510, 399, 798, 687 is 3

2. How to calculate the greatest common divisor of 510, 399, 798, 687?

We can find the highest common divisor of 510, 399, 798, 687 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, 399, 798, 687 i.e 3.

3. How can I use the GCD of 510, 399, 798, 687Calculator?

Out the numbers 510, 399, 798, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.