GCD of 510, 996, 423, 705 Calculator

Given Input numbers are 510, 996, 423, 705

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 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (510, 996, 423, 705) = 3.

Given numbers are 510, 996, 423, 705

The list of prime factors of all numbers are

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

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 423 are 3 x 3 x 47

Prime factors of 705 are 3 x 5 x 47

The highest common occurrence is 3¹

Therefore, GCD of 510, 996, 423, 705 is 3.

Given numbers are 510, 996, 423, 705

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

Apply this formula for all numbers.

Step1:

LCM(510, 996) = 84660

GCD(510, 996) = ( 510 x 996 ) / 84660

= 510 / 996

= 510

Step2:

LCM(6, 423) = 846

GCD(6, 423) = ( 6 x 423 ) / 846

= 6 / 423

= 6

Step3:

LCM(3, 705) = 705

GCD(3, 705) = ( 3 x 705 ) / 705

= 3 / 705

= 3

So, Greatest Common Divisor of 510, 996, 423, 705 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 342, 215, 614
• GCD of 743, 943, 367, 364
• GCD of 812, 465, 680, 800
• GCD of 673, 392, 550, 155
• GCD of 768, 335, 471, 756

Given numbers are 510, 996, 423, 705
The greatest common divisor of numbers 510, 996, 423, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 996, 423, 705 is 3.

1. What is the GCD of 510, 996, 423, 705?

GCD of given numbers 510, 996, 423, 705 is 3

2. How to calculate the greatest common divisor of 510, 996, 423, 705?

We can find the highest common divisor of 510, 996, 423, 705 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, 996, 423, 705 i.e 3.

3. How can I use the GCD of 510, 996, 423, 705Calculator?

Out the numbers 510, 996, 423, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.