GCD of 510, 342, 798, 696 Calculator

Given Input numbers are 510, 342, 798, 696

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 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 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 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

GCD of numbers is the greatest common divisor

So, the GCD (510, 342, 798, 696) = 6.

Given numbers are 510, 342, 798, 696

The list of prime factors of all numbers are

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

Prime factors of 342 are 2 x 3 x 3 x 19

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

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 510, 342, 798, 696 is 6.

Given numbers are 510, 342, 798, 696

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

Apply this formula for all numbers.

Step1:

LCM(510, 342) = 29070

GCD(510, 342) = ( 510 x 342 ) / 29070

= 510 / 342

= 510

Step2:

LCM(6, 798) = 798

GCD(6, 798) = ( 6 x 798 ) / 798

= 6 / 798

= 6

Step3:

LCM(6, 696) = 696

GCD(6, 696) = ( 6 x 696 ) / 696

= 6 / 696

= 6

So, Greatest Common Divisor of 510, 342, 798, 696 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 882, 236, 911
• GCD of 247, 286, 566, 925
• GCD of 552, 128, 970, 221
• GCD of 447, 412, 538, 790
• GCD of 382, 362, 743, 147

Given numbers are 510, 342, 798, 696
The greatest common divisor of numbers 510, 342, 798, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 342, 798, 696 is 6.

1. What is the GCD of 510, 342, 798, 696?

GCD of given numbers 510, 342, 798, 696 is 6

2. How to calculate the greatest common divisor of 510, 342, 798, 696?

We can find the highest common divisor of 510, 342, 798, 696 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, 342, 798, 696 i.e 6.

3. How can I use the GCD of 510, 342, 798, 696Calculator?

Out the numbers 510, 342, 798, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.