GCD of 118, 283, 496, 217 Calculator

Given Input numbers are 118, 283, 496, 217

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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 118, 283, 496, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 283, 496, 217 is 1.

Therefore, GCD of numbers 118, 283, 496, 217 is 1

Given Input Data is 118, 283, 496, 217

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 283 is 283

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 217 is 7 x 31

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(118, 283) = 33394

GCD(118, 283) = ( 118 x 283 ) / 33394

GCD(118, 283) = 33394 / 33394

GCD(118, 283) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 118, 283, 496, 217 is 1

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1. What is the GCD of 118, 283, 496, 217?

GCD of 118, 283, 496, 217 is 1

2. Where do I get the detailed procedure to find GCD of 118, 283, 496, 217?

You can find a detailed procedure to find GCD of 118, 283, 496, 217 on our page.

3. How to find GCD of 118, 283, 496, 217 on a calculator?

You can find the GCD of 118, 283, 496, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.