GCD of 14, 183, 688, 584 Calculator

Given Input numbers are 14, 183, 688, 584

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

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 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 14, 183, 688, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 183, 688, 584 is 1.

Therefore, GCD of numbers 14, 183, 688, 584 is 1

Given Input Data is 14, 183, 688, 584

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 183 is 3 x 61

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(14, 183) = 2562

GCD(14, 183) = ( 14 x 183 ) / 2562

GCD(14, 183) = 2562 / 2562

GCD(14, 183) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 14, 183, 688, 584 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 502, 659, 505
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• GCD of 49, 921, 966, 158
• GCD of 15, 596, 751, 944

1. What is the GCD of 14, 183, 688, 584?

GCD of 14, 183, 688, 584 is 1

2. Where do I get the detailed procedure to find GCD of 14, 183, 688, 584?

You can find a detailed procedure to find GCD of 14, 183, 688, 584 on our page.

3. How to find GCD of 14, 183, 688, 584 on a calculator?

You can find the GCD of 14, 183, 688, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.