GCD of 212, 724, 47, 794 Calculator

Given Input numbers are 212, 724, 47, 794

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 794

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

1, 2, 397, 794

Greatest Common Divisior

We found the divisors of 212, 724, 47, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 724, 47, 794 is 1.

Therefore, GCD of numbers 212, 724, 47, 794 is 1

Given Input Data is 212, 724, 47, 794

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 47 is 47

Prime Factorization of 794 is 2 x 397

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(212, 724) = 38372

GCD(212, 724) = ( 212 x 724 ) / 38372

GCD(212, 724) = 153488 / 38372

GCD(212, 724) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 47

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

LCM(4, 47) = 188

GCD(4, 47) = ( 4 x 47 ) / 188

GCD(4, 47) = 188 / 188

GCD(4, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 794

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

LCM(1, 794) = 794

GCD(1, 794) = ( 1 x 794 ) / 794

GCD(1, 794) = 794 / 794

GCD(1, 794) = 1

GCD of 212, 724, 47, 794 is 1

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1. What is the GCD of 212, 724, 47, 794?

GCD of 212, 724, 47, 794 is 1

2. Where do I get the detailed procedure to find GCD of 212, 724, 47, 794?

You can find a detailed procedure to find GCD of 212, 724, 47, 794 on our page.

3. How to find GCD of 212, 724, 47, 794 on a calculator?

You can find the GCD of 212, 724, 47, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.