GCD of 316, 238, 90, 501 Calculator

Given Input numbers are 316, 238, 90, 501

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 316, 238, 90, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 238, 90, 501 is 1.

Therefore, GCD of numbers 316, 238, 90, 501 is 1

Given Input Data is 316, 238, 90, 501

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 501 is 3 x 167

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(316, 238) = 37604

GCD(316, 238) = ( 316 x 238 ) / 37604

GCD(316, 238) = 75208 / 37604

GCD(316, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 501

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

LCM(2, 501) = 1002

GCD(2, 501) = ( 2 x 501 ) / 1002

GCD(2, 501) = 1002 / 1002

GCD(2, 501) = 1

GCD of 316, 238, 90, 501 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 267, 43, 271
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• GCD of 921, 277, 31, 698

1. What is the GCD of 316, 238, 90, 501?

GCD of 316, 238, 90, 501 is 1

2. Where do I get the detailed procedure to find GCD of 316, 238, 90, 501?

You can find a detailed procedure to find GCD of 316, 238, 90, 501 on our page.

3. How to find GCD of 316, 238, 90, 501 on a calculator?

You can find the GCD of 316, 238, 90, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.