GCD of 688, 704, 84, 513 Calculator

Given Input numbers are 688, 704, 84, 513

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

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

Greatest Common Divisior

We found the divisors of 688, 704, 84, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 704, 84, 513 is 1.

Therefore, GCD of numbers 688, 704, 84, 513 is 1

Given Input Data is 688, 704, 84, 513

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 513 is 3 x 3 x 3 x 19

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(688, 704) = 30272

GCD(688, 704) = ( 688 x 704 ) / 30272

GCD(688, 704) = 484352 / 30272

GCD(688, 704) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 84

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

LCM(16, 84) = 336

GCD(16, 84) = ( 16 x 84 ) / 336

GCD(16, 84) = 1344 / 336

GCD(16, 84) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 513

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

LCM(4, 513) = 2052

GCD(4, 513) = ( 4 x 513 ) / 2052

GCD(4, 513) = 2052 / 2052

GCD(4, 513) = 1

GCD of 688, 704, 84, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 632, 31, 943
• GCD of 827, 516, 98, 794
• GCD of 345, 351, 85, 228
• GCD of 868, 915, 51, 145
• GCD of 432, 681, 49, 802

1. What is the GCD of 688, 704, 84, 513?

GCD of 688, 704, 84, 513 is 1

2. Where do I get the detailed procedure to find GCD of 688, 704, 84, 513?

You can find a detailed procedure to find GCD of 688, 704, 84, 513 on our page.

3. How to find GCD of 688, 704, 84, 513 on a calculator?

You can find the GCD of 688, 704, 84, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.