GCD of 287, 518, 150, 118 Calculator

Given Input numbers are 287, 518, 150, 118

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

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 118

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

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 287, 518, 150, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 287, 518, 150, 118 is 1.

Therefore, GCD of numbers 287, 518, 150, 118 is 1

Given Input Data is 287, 518, 150, 118

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

Prime Factorization of 287 is 7 x 41

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 118 is 2 x 59

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(287, 518) = 21238

GCD(287, 518) = ( 287 x 518 ) / 21238

GCD(287, 518) = 148666 / 21238

GCD(287, 518) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 150

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

LCM(7, 150) = 1050

GCD(7, 150) = ( 7 x 150 ) / 1050

GCD(7, 150) = 1050 / 1050

GCD(7, 150) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 287, 518, 150, 118 is 1

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1. What is the GCD of 287, 518, 150, 118?

GCD of 287, 518, 150, 118 is 1

2. Where do I get the detailed procedure to find GCD of 287, 518, 150, 118?

You can find a detailed procedure to find GCD of 287, 518, 150, 118 on our page.

3. How to find GCD of 287, 518, 150, 118 on a calculator?

You can find the GCD of 287, 518, 150, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.