GCD of 52, 214, 194, 747 Calculator

Given Input numbers are 52, 214, 194, 747

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 52, 214, 194, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 214, 194, 747 is 1.

Therefore, GCD of numbers 52, 214, 194, 747 is 1

Given Input Data is 52, 214, 194, 747

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 214 is 2 x 107

Prime Factorization of 194 is 2 x 97

Prime Factorization of 747 is 3 x 3 x 83

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(52, 214) = 5564

GCD(52, 214) = ( 52 x 214 ) / 5564

GCD(52, 214) = 11128 / 5564

GCD(52, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 194

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

LCM(2, 194) = 194

GCD(2, 194) = ( 2 x 194 ) / 194

GCD(2, 194) = 388 / 194

GCD(2, 194) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 747

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

LCM(2, 747) = 1494

GCD(2, 747) = ( 2 x 747 ) / 1494

GCD(2, 747) = 1494 / 1494

GCD(2, 747) = 1

GCD of 52, 214, 194, 747 is 1

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1. What is the GCD of 52, 214, 194, 747?

GCD of 52, 214, 194, 747 is 1

2. Where do I get the detailed procedure to find GCD of 52, 214, 194, 747?

You can find a detailed procedure to find GCD of 52, 214, 194, 747 on our page.

3. How to find GCD of 52, 214, 194, 747 on a calculator?

You can find the GCD of 52, 214, 194, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.