GCD of 689, 743, 656 Calculator

Given Input numbers are 689, 743, 656

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 689, 743, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 743, 656 is 1.

Therefore, GCD of numbers 689, 743, 656 is 1

Given Input Data is 689, 743, 656

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 743 is 743

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(689, 743) = 511927

GCD(689, 743) = ( 689 x 743 ) / 511927

GCD(689, 743) = 511927 / 511927

GCD(689, 743) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 689, 743, 656 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 422, 353
• GCD of 310, 791, 446
• GCD of 266, 447, 157
• GCD of 547, 990, 505
• GCD of 883, 114, 580

1. What is the GCD of 689, 743, 656?

GCD of 689, 743, 656 is 1

2. Where do I get the detailed procedure to find GCD of 689, 743, 656?

You can find a detailed procedure to find GCD of 689, 743, 656 on our page.

3. How to find GCD of 689, 743, 656 on a calculator?

You can find the GCD of 689, 743, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.