GCD of 513, 429, 264, 459 Calculator

Given Input numbers are 513, 429, 264, 459

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 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

GCD of numbers is the greatest common divisor

So, the GCD (513, 429, 264, 459) = 3.

Given numbers are 513, 429, 264, 459

The list of prime factors of all numbers are

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

Prime factors of 429 are 3 x 11 x 13

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 459 are 3 x 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 513, 429, 264, 459 is 3.

Given numbers are 513, 429, 264, 459

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

Apply this formula for all numbers.

Step1:

LCM(513, 429) = 73359

GCD(513, 429) = ( 513 x 429 ) / 73359

= 513 / 429

= 513

Step2:

LCM(3, 264) = 264

GCD(3, 264) = ( 3 x 264 ) / 264

= 3 / 264

= 3

Step3:

LCM(3, 459) = 459

GCD(3, 459) = ( 3 x 459 ) / 459

= 3 / 459

= 3

So, Greatest Common Divisor of 513, 429, 264, 459 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 579, 986, 558, 612
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Given numbers are 513, 429, 264, 459
The greatest common divisor of numbers 513, 429, 264, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 429, 264, 459 is 3.

1. What is the GCD of 513, 429, 264, 459?

GCD of given numbers 513, 429, 264, 459 is 3

2. How to calculate the greatest common divisor of 513, 429, 264, 459?

We can find the highest common divisor of 513, 429, 264, 459 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, 429, 264, 459 i.e 3.

3. How can I use the GCD of 513, 429, 264, 459Calculator?

Out the numbers 513, 429, 264, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.