GCD of 516, 684, 519, 159 Calculator

Given Input numbers are 516, 684, 519, 159

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 519 :

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

1, 3, 173, 519

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

GCD of numbers is the greatest common divisor

So, the GCD (516, 684, 519, 159) = 3.

Given numbers are 516, 684, 519, 159

The list of prime factors of all numbers are

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 519 are 3 x 173

Prime factors of 159 are 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 516, 684, 519, 159 is 3.

Given numbers are 516, 684, 519, 159

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

Apply this formula for all numbers.

Step1:

LCM(516, 684) = 29412

GCD(516, 684) = ( 516 x 684 ) / 29412

= 516 / 684

= 516

Step2:

LCM(12, 519) = 2076

GCD(12, 519) = ( 12 x 519 ) / 2076

= 12 / 519

= 12

Step3:

LCM(3, 159) = 159

GCD(3, 159) = ( 3 x 159 ) / 159

= 3 / 159

= 3

So, Greatest Common Divisor of 516, 684, 519, 159 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 930, 182, 441
• GCD of 102, 466, 603, 609
• GCD of 382, 922, 344, 934
• GCD of 482, 478, 178, 831
• GCD of 729, 392, 785, 956

Given numbers are 516, 684, 519, 159
The greatest common divisor of numbers 516, 684, 519, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 684, 519, 159 is 3.

1. What is the GCD of 516, 684, 519, 159?

GCD of given numbers 516, 684, 519, 159 is 3

2. How to calculate the greatest common divisor of 516, 684, 519, 159?

We can find the highest common divisor of 516, 684, 519, 159 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 516, 684, 519, 159 i.e 3.

3. How can I use the GCD of 516, 684, 519, 159Calculator?

Out the numbers 516, 684, 519, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.