GCD of 653, 658, 14, 884 Calculator

Given Input numbers are 653, 658, 14, 884

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

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 14

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

1, 2, 7, 14

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 653, 658, 14, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 658, 14, 884 is 1.

Therefore, GCD of numbers 653, 658, 14, 884 is 1

Given Input Data is 653, 658, 14, 884

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

Prime Factorization of 653 is 653

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 14 is 2 x 7

Prime Factorization of 884 is 2 x 2 x 13 x 17

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(653, 658) = 429674

GCD(653, 658) = ( 653 x 658 ) / 429674

GCD(653, 658) = 429674 / 429674

GCD(653, 658) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

GCD of 653, 658, 14, 884 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 635, 79, 701
• GCD of 758, 705, 55, 246
• GCD of 551, 472, 91, 744
• GCD of 678, 249, 99, 709
• GCD of 238, 529, 27, 108

1. What is the GCD of 653, 658, 14, 884?

GCD of 653, 658, 14, 884 is 1

2. Where do I get the detailed procedure to find GCD of 653, 658, 14, 884?

You can find a detailed procedure to find GCD of 653, 658, 14, 884 on our page.

3. How to find GCD of 653, 658, 14, 884 on a calculator?

You can find the GCD of 653, 658, 14, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.