GCD of 706, 794, 513, 441 Calculator

Given Input numbers are 706, 794, 513, 441

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 706, 794, 513, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 794, 513, 441 is 1.

Therefore, GCD of numbers 706, 794, 513, 441 is 1

Given Input Data is 706, 794, 513, 441

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 794 is 2 x 397

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 441 is 3 x 3 x 7 x 7

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(706, 794) = 280282

GCD(706, 794) = ( 706 x 794 ) / 280282

GCD(706, 794) = 560564 / 280282

GCD(706, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 513

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

LCM(2, 513) = 1026

GCD(2, 513) = ( 2 x 513 ) / 1026

GCD(2, 513) = 1026 / 1026

GCD(2, 513) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 706, 794, 513, 441 is 1

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1. What is the GCD of 706, 794, 513, 441?

GCD of 706, 794, 513, 441 is 1

2. Where do I get the detailed procedure to find GCD of 706, 794, 513, 441?

You can find a detailed procedure to find GCD of 706, 794, 513, 441 on our page.

3. How to find GCD of 706, 794, 513, 441 on a calculator?

You can find the GCD of 706, 794, 513, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.