GCD of 713, 162, 71, 294 Calculator

Given Input numbers are 713, 162, 71, 294

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

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 71

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

1, 71

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 713, 162, 71, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 162, 71, 294 is 1.

Therefore, GCD of numbers 713, 162, 71, 294 is 1

Given Input Data is 713, 162, 71, 294

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 71 is 71

Prime Factorization of 294 is 2 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(713, 162) = 115506

GCD(713, 162) = ( 713 x 162 ) / 115506

GCD(713, 162) = 115506 / 115506

GCD(713, 162) = 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 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 713, 162, 71, 294 is 1

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• GCD of 100, 428, 77, 758
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1. What is the GCD of 713, 162, 71, 294?

GCD of 713, 162, 71, 294 is 1

2. Where do I get the detailed procedure to find GCD of 713, 162, 71, 294?

You can find a detailed procedure to find GCD of 713, 162, 71, 294 on our page.

3. How to find GCD of 713, 162, 71, 294 on a calculator?

You can find the GCD of 713, 162, 71, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.