GCD of 231, 513, 384, 708 Calculator

Given Input numbers are 231, 513, 384, 708

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 513 :

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

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

GCD of numbers is the greatest common divisor

So, the GCD (231, 513, 384, 708) = 3.

Given numbers are 231, 513, 384, 708

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

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

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 708 are 2 x 2 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 231, 513, 384, 708 is 3.

Given numbers are 231, 513, 384, 708

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

Apply this formula for all numbers.

Step1:

LCM(231, 513) = 39501

GCD(231, 513) = ( 231 x 513 ) / 39501

= 231 / 513

= 231

Step2:

LCM(3, 384) = 384

GCD(3, 384) = ( 3 x 384 ) / 384

= 3 / 384

= 3

Step3:

LCM(3, 708) = 708

GCD(3, 708) = ( 3 x 708 ) / 708

= 3 / 708

= 3

So, Greatest Common Divisor of 231, 513, 384, 708 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 535, 470, 464
• GCD of 333, 570, 561, 895
• GCD of 804, 956, 910, 846
• GCD of 638, 147, 994, 388
• GCD of 902, 917, 908, 373

Given numbers are 231, 513, 384, 708
The greatest common divisor of numbers 231, 513, 384, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 513, 384, 708 is 3.

1. What is the GCD of 231, 513, 384, 708?

GCD of given numbers 231, 513, 384, 708 is 3

2. How to calculate the greatest common divisor of 231, 513, 384, 708?

We can find the highest common divisor of 231, 513, 384, 708 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 231, 513, 384, 708 i.e 3.

3. How can I use the GCD of 231, 513, 384, 708Calculator?

Out the numbers 231, 513, 384, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.