GCD of 689, 797, 854 Calculator

Given Input numbers are 689, 797, 854

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 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 689, 797, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 797, 854 is 1.

Therefore, GCD of numbers 689, 797, 854 is 1

Given Input Data is 689, 797, 854

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 797 is 797

Prime Factorization of 854 is 2 x 7 x 61

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, 797) = 549133

GCD(689, 797) = ( 689 x 797 ) / 549133

GCD(689, 797) = 549133 / 549133

GCD(689, 797) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 689, 797, 854 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 914, 533
• GCD of 857, 135, 915
• GCD of 654, 700, 373
• GCD of 117, 799, 156
• GCD of 603, 414, 972

1. What is the GCD of 689, 797, 854?

GCD of 689, 797, 854 is 1

2. Where do I get the detailed procedure to find GCD of 689, 797, 854?

You can find a detailed procedure to find GCD of 689, 797, 854 on our page.

3. How to find GCD of 689, 797, 854 on a calculator?

You can find the GCD of 689, 797, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.