GCD of 519, 489, 240 Calculator

Given Input numbers are 519, 489, 240

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

Divisors of 519 :

The positive integer divisors of 519 that completely divides 519 are.

1, 3, 173, 519

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (519, 489, 240) = 3.

Given numbers are 519, 489, 240

The list of prime factors of all numbers are

Prime factors of 519 are 3 x 173

Prime factors of 489 are 3 x 163

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 519, 489, 240 is 3.

Given numbers are 519, 489, 240

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

Apply this formula for all numbers.

Step1:

LCM(519, 489) = 84597

GCD(519, 489) = ( 519 x 489 ) / 84597

= 519 / 489

= 519

Step2:

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

= 3 / 240

= 3

So, Greatest Common Divisor of 519, 489, 240 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 617, 514
• GCD of 252, 122, 132
• GCD of 211, 218, 924
• GCD of 122, 740, 257
• GCD of 300, 737, 658

Given numbers are 519, 489, 240
The greatest common divisor of numbers 519, 489, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 519, 489, 240 is 3.

1. What is the GCD of 519, 489, 240?

GCD of given numbers 519, 489, 240 is 3

2. How to calculate the greatest common divisor of 519, 489, 240?

We can find the highest common divisor of 519, 489, 240 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 519, 489, 240 i.e 3.

3. How can I use the GCD of 519, 489, 240Calculator?

Out the numbers 519, 489, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.