GCD of 248, 309, 20, 495 Calculator

Given Input numbers are 248, 309, 20, 495

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

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 248, 309, 20, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 309, 20, 495 is 1.

Therefore, GCD of numbers 248, 309, 20, 495 is 1

Given Input Data is 248, 309, 20, 495

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

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 309 is 3 x 103

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 495 is 3 x 3 x 5 x 11

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(248, 309) = 76632

GCD(248, 309) = ( 248 x 309 ) / 76632

GCD(248, 309) = 76632 / 76632

GCD(248, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 495

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

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

GCD(1, 495) = 495 / 495

GCD(1, 495) = 1

GCD of 248, 309, 20, 495 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 680, 43, 788
• GCD of 246, 367, 84, 633
• GCD of 544, 493, 77, 970
• GCD of 462, 172, 93, 379
• GCD of 284, 659, 69, 591

1. What is the GCD of 248, 309, 20, 495?

GCD of 248, 309, 20, 495 is 1

2. Where do I get the detailed procedure to find GCD of 248, 309, 20, 495?

You can find a detailed procedure to find GCD of 248, 309, 20, 495 on our page.

3. How to find GCD of 248, 309, 20, 495 on a calculator?

You can find the GCD of 248, 309, 20, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.