GCD of 118, 354, 288, 487 Calculator

Given Input numbers are 118, 354, 288, 487

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Greatest Common Divisior

We found the divisors of 118, 354, 288, 487 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 354, 288, 487 is 1.

Therefore, GCD of numbers 118, 354, 288, 487 is 1

Given Input Data is 118, 354, 288, 487

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 487 is 487

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, 354) = 354

GCD(118, 354) = ( 118 x 354 ) / 354

GCD(118, 354) = 41772 / 354

GCD(118, 354) = 118

Step2:

Here we consider the GCD from the above i.e. 118 as first number and the next as 288

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

LCM(118, 288) = 16992

GCD(118, 288) = ( 118 x 288 ) / 16992

GCD(118, 288) = 33984 / 16992

GCD(118, 288) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 487

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

LCM(2, 487) = 974

GCD(2, 487) = ( 2 x 487 ) / 974

GCD(2, 487) = 974 / 974

GCD(2, 487) = 1

GCD of 118, 354, 288, 487 is 1

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1. What is the GCD of 118, 354, 288, 487?

GCD of 118, 354, 288, 487 is 1

2. Where do I get the detailed procedure to find GCD of 118, 354, 288, 487?

You can find a detailed procedure to find GCD of 118, 354, 288, 487 on our page.

3. How to find GCD of 118, 354, 288, 487 on a calculator?

You can find the GCD of 118, 354, 288, 487 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.