GCD of 240, 538, 14, 465 Calculator

Given Input numbers are 240, 538, 14, 465

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 240, 538, 14, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 538, 14, 465 is 1.

Therefore, GCD of numbers 240, 538, 14, 465 is 1

Given Input Data is 240, 538, 14, 465

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 538 is 2 x 269

Prime Factorization of 14 is 2 x 7

Prime Factorization of 465 is 3 x 5 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(240, 538) = 64560

GCD(240, 538) = ( 240 x 538 ) / 64560

GCD(240, 538) = 129120 / 64560

GCD(240, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 465

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

LCM(2, 465) = 930

GCD(2, 465) = ( 2 x 465 ) / 930

GCD(2, 465) = 930 / 930

GCD(2, 465) = 1

GCD of 240, 538, 14, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 750, 89, 100
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• GCD of 929, 733, 94, 716
• GCD of 992, 310, 30, 209

1. What is the GCD of 240, 538, 14, 465?

GCD of 240, 538, 14, 465 is 1

2. Where do I get the detailed procedure to find GCD of 240, 538, 14, 465?

You can find a detailed procedure to find GCD of 240, 538, 14, 465 on our page.

3. How to find GCD of 240, 538, 14, 465 on a calculator?

You can find the GCD of 240, 538, 14, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.