GCD of 829, 266, 145, 831 Calculator

Given Input numbers are 829, 266, 145, 831

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

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 829, 266, 145, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 266, 145, 831 is 1.

Therefore, GCD of numbers 829, 266, 145, 831 is 1

Given Input Data is 829, 266, 145, 831

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

Prime Factorization of 829 is 829

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 145 is 5 x 29

Prime Factorization of 831 is 3 x 277

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(829, 266) = 220514

GCD(829, 266) = ( 829 x 266 ) / 220514

GCD(829, 266) = 220514 / 220514

GCD(829, 266) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

GCD of 829, 266, 145, 831 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 157, 454, 604
• GCD of 768, 141, 393, 160
• GCD of 569, 240, 535, 337
• GCD of 239, 648, 696, 921
• GCD of 918, 276, 248, 480

1. What is the GCD of 829, 266, 145, 831?

GCD of 829, 266, 145, 831 is 1

2. Where do I get the detailed procedure to find GCD of 829, 266, 145, 831?

You can find a detailed procedure to find GCD of 829, 266, 145, 831 on our page.

3. How to find GCD of 829, 266, 145, 831 on a calculator?

You can find the GCD of 829, 266, 145, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.