GCD of 431, 242, 20, 742 Calculator

Given Input numbers are 431, 242, 20, 742

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

Divisors of 431

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

1, 431

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 431, 242, 20, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 242, 20, 742 is 1.

Therefore, GCD of numbers 431, 242, 20, 742 is 1

Given Input Data is 431, 242, 20, 742

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

Prime Factorization of 431 is 431

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 742 is 2 x 7 x 53

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(431, 242) = 104302

GCD(431, 242) = ( 431 x 242 ) / 104302

GCD(431, 242) = 104302 / 104302

GCD(431, 242) = 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 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 431, 242, 20, 742 is 1

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• GCD of 334, 483, 74, 620
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• GCD of 245, 367, 42, 444
• GCD of 892, 621, 45, 749
• GCD of 958, 423, 46, 979

1. What is the GCD of 431, 242, 20, 742?

GCD of 431, 242, 20, 742 is 1

2. Where do I get the detailed procedure to find GCD of 431, 242, 20, 742?

You can find a detailed procedure to find GCD of 431, 242, 20, 742 on our page.

3. How to find GCD of 431, 242, 20, 742 on a calculator?

You can find the GCD of 431, 242, 20, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.