GCD of 131, 116, 742, 282 Calculator

Given Input numbers are 131, 116, 742, 282

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

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 742

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

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 131, 116, 742, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 116, 742, 282 is 1.

Therefore, GCD of numbers 131, 116, 742, 282 is 1

Given Input Data is 131, 116, 742, 282

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

Prime Factorization of 131 is 131

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 282 is 2 x 3 x 47

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(131, 116) = 15196

GCD(131, 116) = ( 131 x 116 ) / 15196

GCD(131, 116) = 15196 / 15196

GCD(131, 116) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

GCD of 131, 116, 742, 282 is 1

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1. What is the GCD of 131, 116, 742, 282?

GCD of 131, 116, 742, 282 is 1

2. Where do I get the detailed procedure to find GCD of 131, 116, 742, 282?

You can find a detailed procedure to find GCD of 131, 116, 742, 282 on our page.

3. How to find GCD of 131, 116, 742, 282 on a calculator?

You can find the GCD of 131, 116, 742, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.