GCD of 691, 825, 745, 823 Calculator

Given Input numbers are 691, 825, 745, 823

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

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 691, 825, 745, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 691, 825, 745, 823 is 1.

Therefore, GCD of numbers 691, 825, 745, 823 is 1

Given Input Data is 691, 825, 745, 823

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

Prime Factorization of 691 is 691

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 745 is 5 x 149

Prime Factorization of 823 is 823

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(691, 825) = 570075

GCD(691, 825) = ( 691 x 825 ) / 570075

GCD(691, 825) = 570075 / 570075

GCD(691, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 691, 825, 745, 823 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 674, 314, 713, 454
• GCD of 622, 236, 355, 536
• GCD of 797, 440, 958, 901
• GCD of 789, 391, 563, 403
• GCD of 197, 357, 771, 332

1. What is the GCD of 691, 825, 745, 823?

GCD of 691, 825, 745, 823 is 1

2. Where do I get the detailed procedure to find GCD of 691, 825, 745, 823?

You can find a detailed procedure to find GCD of 691, 825, 745, 823 on our page.

3. How to find GCD of 691, 825, 745, 823 on a calculator?

You can find the GCD of 691, 825, 745, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.