GCD of 248, 203, 20, 431 Calculator

Given Input numbers are 248, 203, 20, 431

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 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 248, 203, 20, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 203, 20, 431 is 1.

Therefore, GCD of numbers 248, 203, 20, 431 is 1

Given Input Data is 248, 203, 20, 431

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 203 is 7 x 29

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 431 is 431

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, 203) = 50344

GCD(248, 203) = ( 248 x 203 ) / 50344

GCD(248, 203) = 50344 / 50344

GCD(248, 203) = 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 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 248, 203, 20, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 408, 883, 33, 679
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• GCD of 310, 830, 50, 728
• GCD of 645, 387, 50, 930

1. What is the GCD of 248, 203, 20, 431?

GCD of 248, 203, 20, 431 is 1

2. Where do I get the detailed procedure to find GCD of 248, 203, 20, 431?

You can find a detailed procedure to find GCD of 248, 203, 20, 431 on our page.

3. How to find GCD of 248, 203, 20, 431 on a calculator?

You can find the GCD of 248, 203, 20, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.