GCD of 345, 510, 180, 939 Calculator

Given Input numbers are 345, 510, 180, 939

In the factoring method, we have to find the divisors of all numbers

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 939 :

The positive integer divisors of 939 that completely divides 939 are.

1, 3, 313, 939

GCD of numbers is the greatest common divisor

So, the GCD (345, 510, 180, 939) = 3.

Given numbers are 345, 510, 180, 939

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 939 are 3 x 313

The highest common occurrence is 3¹

Therefore, GCD of 345, 510, 180, 939 is 3.

Given numbers are 345, 510, 180, 939

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

Apply this formula for all numbers.

Step1:

LCM(345, 510) = 11730

GCD(345, 510) = ( 345 x 510 ) / 11730

= 345 / 510

= 345

Step2:

LCM(15, 180) = 180

GCD(15, 180) = ( 15 x 180 ) / 180

= 15 / 180

= 15

Step3:

LCM(15, 939) = 4695

GCD(15, 939) = ( 15 x 939 ) / 4695

= 15 / 939

= 15

So, Greatest Common Divisor of 345, 510, 180, 939 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 514, 174, 306
• GCD of 206, 454, 973, 279
• GCD of 957, 556, 742, 305
• GCD of 459, 155, 921, 873
• GCD of 877, 283, 919, 545

Given numbers are 345, 510, 180, 939
The greatest common divisor of numbers 345, 510, 180, 939 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 510, 180, 939 is 3.

1. What is the GCD of 345, 510, 180, 939?

GCD of given numbers 345, 510, 180, 939 is 3

2. How to calculate the greatest common divisor of 345, 510, 180, 939?

We can find the highest common divisor of 345, 510, 180, 939 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 345, 510, 180, 939 i.e 3.

3. How can I use the GCD of 345, 510, 180, 939Calculator?

Out the numbers 345, 510, 180, 939 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.