GCD of 57, 289, 114, 247 Calculator

Given Input numbers are 57, 289, 114, 247

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

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 57, 289, 114, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 289, 114, 247 is 1.

Therefore, GCD of numbers 57, 289, 114, 247 is 1

Given Input Data is 57, 289, 114, 247

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 289 is 17 x 17

Prime Factorization of 114 is 2 x 3 x 19

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(57, 289) = 16473

GCD(57, 289) = ( 57 x 289 ) / 16473

GCD(57, 289) = 16473 / 16473

GCD(57, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 247

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

LCM(1, 247) = 247

GCD(1, 247) = ( 1 x 247 ) / 247

GCD(1, 247) = 247 / 247

GCD(1, 247) = 1

GCD of 57, 289, 114, 247 is 1

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1. What is the GCD of 57, 289, 114, 247?

GCD of 57, 289, 114, 247 is 1

2. Where do I get the detailed procedure to find GCD of 57, 289, 114, 247?

You can find a detailed procedure to find GCD of 57, 289, 114, 247 on our page.

3. How to find GCD of 57, 289, 114, 247 on a calculator?

You can find the GCD of 57, 289, 114, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.