GCD of 510, 189, 18, 852 Calculator

Given Input numbers are 510, 189, 18, 852

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 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (510, 189, 18, 852) = 3.

Given numbers are 510, 189, 18, 852

The list of prime factors of all numbers are

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

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 18 are 2 x 3 x 3

Prime factors of 852 are 2 x 2 x 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 510, 189, 18, 852 is 3.

Given numbers are 510, 189, 18, 852

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

Apply this formula for all numbers.

Step1:

LCM(510, 189) = 32130

GCD(510, 189) = ( 510 x 189 ) / 32130

= 510 / 189

= 510

Step2:

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

= 3 / 18

= 3

Step3:

LCM(3, 852) = 852

GCD(3, 852) = ( 3 x 852 ) / 852

= 3 / 852

= 3

So, Greatest Common Divisor of 510, 189, 18, 852 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 124, 27, 711
• GCD of 129, 439, 69, 264
• GCD of 272, 651, 15, 863
• GCD of 355, 143, 24, 888
• GCD of 582, 509, 88, 712

Given numbers are 510, 189, 18, 852
The greatest common divisor of numbers 510, 189, 18, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 189, 18, 852 is 3.

1. What is the GCD of 510, 189, 18, 852?

GCD of given numbers 510, 189, 18, 852 is 3

2. How to calculate the greatest common divisor of 510, 189, 18, 852?

We can find the highest common divisor of 510, 189, 18, 852 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, 189, 18, 852 i.e 3.

3. How can I use the GCD of 510, 189, 18, 852Calculator?

Out the numbers 510, 189, 18, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.