GCD of 513, 828, 471, 699 Calculator

Given Input numbers are 513, 828, 471, 699

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 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

GCD of numbers is the greatest common divisor

So, the GCD (513, 828, 471, 699) = 3.

Given numbers are 513, 828, 471, 699

The list of prime factors of all numbers are

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

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 471 are 3 x 157

Prime factors of 699 are 3 x 233

The highest common occurrence is 3¹

Therefore, GCD of 513, 828, 471, 699 is 3.

Given numbers are 513, 828, 471, 699

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

Apply this formula for all numbers.

Step1:

LCM(513, 828) = 47196

GCD(513, 828) = ( 513 x 828 ) / 47196

= 513 / 828

= 513

Step2:

LCM(9, 471) = 1413

GCD(9, 471) = ( 9 x 471 ) / 1413

= 9 / 471

= 9

Step3:

LCM(3, 699) = 699

GCD(3, 699) = ( 3 x 699 ) / 699

= 3 / 699

= 3

So, Greatest Common Divisor of 513, 828, 471, 699 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 297, 639, 455
• GCD of 877, 686, 181, 448
• GCD of 426, 419, 349, 327
• GCD of 702, 514, 501, 843
• GCD of 306, 154, 679, 474

Given numbers are 513, 828, 471, 699
The greatest common divisor of numbers 513, 828, 471, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 828, 471, 699 is 3.

1. What is the GCD of 513, 828, 471, 699?

GCD of given numbers 513, 828, 471, 699 is 3

2. How to calculate the greatest common divisor of 513, 828, 471, 699?

We can find the highest common divisor of 513, 828, 471, 699 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, 828, 471, 699 i.e 3.

3. How can I use the GCD of 513, 828, 471, 699Calculator?

Out the numbers 513, 828, 471, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.