GCD of 513, 804, 546, 159 Calculator

Given Input numbers are 513, 804, 546, 159

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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 (513, 804, 546, 159) = 3.

Given numbers are 513, 804, 546, 159

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 159 are 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 513, 804, 546, 159 is 3.

Given numbers are 513, 804, 546, 159

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

Apply this formula for all numbers.

Step1:

LCM(513, 804) = 137484

GCD(513, 804) = ( 513 x 804 ) / 137484

= 513 / 804

= 513

Step2:

LCM(3, 546) = 546

GCD(3, 546) = ( 3 x 546 ) / 546

= 3 / 546

= 3

Step3:

LCM(3, 159) = 159

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

= 3 / 159

= 3

So, Greatest Common Divisor of 513, 804, 546, 159 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 350, 217, 770
• GCD of 784, 542, 900, 956
• GCD of 174, 372, 806, 127
• GCD of 596, 857, 971, 895
• GCD of 966, 649, 277, 247

Given numbers are 513, 804, 546, 159
The greatest common divisor of numbers 513, 804, 546, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 804, 546, 159 is 3.

1. What is the GCD of 513, 804, 546, 159?

GCD of given numbers 513, 804, 546, 159 is 3

2. How to calculate the greatest common divisor of 513, 804, 546, 159?

We can find the highest common divisor of 513, 804, 546, 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 513, 804, 546, 159 i.e 3.

3. How can I use the GCD of 513, 804, 546, 159Calculator?

Out the numbers 513, 804, 546, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.