GCD of 688, 484, 735 Calculator

Given Input numbers are 688, 484, 735

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 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 688, 484, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 484, 735 is 1.

Therefore, GCD of numbers 688, 484, 735 is 1

Given Input Data is 688, 484, 735

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 484 is 2 x 2 x 11 x 11

Prime Factorization of 735 is 3 x 5 x 7 x 7

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, 484) = 83248

GCD(688, 484) = ( 688 x 484 ) / 83248

GCD(688, 484) = 332992 / 83248

GCD(688, 484) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 735

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

LCM(4, 735) = 2940

GCD(4, 735) = ( 4 x 735 ) / 2940

GCD(4, 735) = 2940 / 2940

GCD(4, 735) = 1

GCD of 688, 484, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 454, 571
• GCD of 333, 491, 917
• GCD of 483, 911, 366
• GCD of 447, 689, 111
• GCD of 426, 600, 261

1. What is the GCD of 688, 484, 735?

GCD of 688, 484, 735 is 1

2. Where do I get the detailed procedure to find GCD of 688, 484, 735?

You can find a detailed procedure to find GCD of 688, 484, 735 on our page.

3. How to find GCD of 688, 484, 735 on a calculator?

You can find the GCD of 688, 484, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.