GCD of 791, 322, 85, 689 Calculator

Given Input numbers are 791, 322, 85, 689

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

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 689

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

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 791, 322, 85, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 322, 85, 689 is 1.

Therefore, GCD of numbers 791, 322, 85, 689 is 1

Given Input Data is 791, 322, 85, 689

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

Prime Factorization of 791 is 7 x 113

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 85 is 5 x 17

Prime Factorization of 689 is 13 x 53

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(791, 322) = 36386

GCD(791, 322) = ( 791 x 322 ) / 36386

GCD(791, 322) = 254702 / 36386

GCD(791, 322) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 85

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

LCM(7, 85) = 595

GCD(7, 85) = ( 7 x 85 ) / 595

GCD(7, 85) = 595 / 595

GCD(7, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 791, 322, 85, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 417, 15, 839
• GCD of 138, 557, 84, 938
• GCD of 126, 289, 38, 173
• GCD of 950, 633, 71, 371
• GCD of 222, 623, 19, 803

1. What is the GCD of 791, 322, 85, 689?

GCD of 791, 322, 85, 689 is 1

2. Where do I get the detailed procedure to find GCD of 791, 322, 85, 689?

You can find a detailed procedure to find GCD of 791, 322, 85, 689 on our page.

3. How to find GCD of 791, 322, 85, 689 on a calculator?

You can find the GCD of 791, 322, 85, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.