GCD of 829, 526, 71, 243 Calculator

Given Input numbers are 829, 526, 71, 243

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 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 829, 526, 71, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 526, 71, 243 is 1.

Therefore, GCD of numbers 829, 526, 71, 243 is 1

Given Input Data is 829, 526, 71, 243

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

Prime Factorization of 829 is 829

Prime Factorization of 526 is 2 x 263

Prime Factorization of 71 is 71

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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, 526) = 436054

GCD(829, 526) = ( 829 x 526 ) / 436054

GCD(829, 526) = 436054 / 436054

GCD(829, 526) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 243

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

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

GCD(1, 243) = 243 / 243

GCD(1, 243) = 1

GCD of 829, 526, 71, 243 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 975, 14, 675
• GCD of 563, 151, 93, 947
• GCD of 555, 676, 23, 498
• GCD of 879, 509, 71, 176
• GCD of 780, 287, 94, 959

1. What is the GCD of 829, 526, 71, 243?

GCD of 829, 526, 71, 243 is 1

2. Where do I get the detailed procedure to find GCD of 829, 526, 71, 243?

You can find a detailed procedure to find GCD of 829, 526, 71, 243 on our page.

3. How to find GCD of 829, 526, 71, 243 on a calculator?

You can find the GCD of 829, 526, 71, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.