GCD of 214, 752, 247 Calculator

Given Input numbers are 214, 752, 247

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

Divisors of 214

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

1, 2, 107, 214

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Greatest Common Divisior

We found the divisors of 214, 752, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 752, 247 is 1.

Therefore, GCD of numbers 214, 752, 247 is 1

Given Input Data is 214, 752, 247

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 247 is 13 x 19

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(214, 752) = 80464

GCD(214, 752) = ( 214 x 752 ) / 80464

GCD(214, 752) = 160928 / 80464

GCD(214, 752) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 247

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

LCM(2, 247) = 494

GCD(2, 247) = ( 2 x 247 ) / 494

GCD(2, 247) = 494 / 494

GCD(2, 247) = 1

GCD of 214, 752, 247 is 1

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1. What is the GCD of 214, 752, 247?

GCD of 214, 752, 247 is 1

2. Where do I get the detailed procedure to find GCD of 214, 752, 247?

You can find a detailed procedure to find GCD of 214, 752, 247 on our page.

3. How to find GCD of 214, 752, 247 on a calculator?

You can find the GCD of 214, 752, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.