GCD of 519, 120, 144, 520 Calculator

Given Input numbers are 519, 120, 144, 520

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 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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

GCD of numbers is the greatest common divisor

So, the GCD (519, 120, 144, 520) = 1.

Given numbers are 519, 120, 144, 520

The list of prime factors of all numbers are

Prime factors of 519 are 3 x 173

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

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 519, 120, 144, 520

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

Apply this formula for all numbers.

Step1:

LCM(519, 120) = 20760

GCD(519, 120) = ( 519 x 120 ) / 20760

= 519 / 120

= 519

Step2:

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

= 3 / 144

= 3

Step3:

LCM(3, 520) = 1560

GCD(3, 520) = ( 3 x 520 ) / 1560

= 3 / 520

= 3

So, Greatest Common Divisor of 519, 120, 144, 520 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 646, 997, 269
• GCD of 528, 710, 954, 786
• GCD of 120, 460, 238, 906
• GCD of 635, 422, 907, 238
• GCD of 299, 855, 579, 172

Given numbers are 519, 120, 144, 520
The greatest common divisor of numbers 519, 120, 144, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 519, 120, 144, 520 is 1.

1. What is the GCD of 519, 120, 144, 520?

GCD of given numbers 519, 120, 144, 520 is 1

2. How to calculate the greatest common divisor of 519, 120, 144, 520?

We can find the highest common divisor of 519, 120, 144, 520 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, 120, 144, 520 i.e 1.

3. How can I use the GCD of 519, 120, 144, 520Calculator?

Out the numbers 519, 120, 144, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.