GCD of 510, 612, 999, 120 Calculator

Given Input numbers are 510, 612, 999, 120

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (510, 612, 999, 120) = 3.

Given numbers are 510, 612, 999, 120

The list of prime factors of all numbers are

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

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 510, 612, 999, 120 is 3.

Given numbers are 510, 612, 999, 120

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

Apply this formula for all numbers.

Step1:

LCM(510, 612) = 3060

GCD(510, 612) = ( 510 x 612 ) / 3060

= 510 / 612

= 510

Step2:

LCM(102, 999) = 33966

GCD(102, 999) = ( 102 x 999 ) / 33966

= 102 / 999

= 102

Step3:

LCM(3, 120) = 120

GCD(3, 120) = ( 3 x 120 ) / 120

= 3 / 120

= 3

So, Greatest Common Divisor of 510, 612, 999, 120 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 792, 894, 757, 868
• GCD of 410, 468, 428, 901
• GCD of 419, 318, 978, 618
• GCD of 780, 474, 102, 200
• GCD of 342, 735, 578, 593

Given numbers are 510, 612, 999, 120
The greatest common divisor of numbers 510, 612, 999, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 612, 999, 120 is 3.

1. What is the GCD of 510, 612, 999, 120?

GCD of given numbers 510, 612, 999, 120 is 3

2. How to calculate the greatest common divisor of 510, 612, 999, 120?

We can find the highest common divisor of 510, 612, 999, 120 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, 612, 999, 120 i.e 3.

3. How can I use the GCD of 510, 612, 999, 120Calculator?

Out the numbers 510, 612, 999, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.