GCD of 242, 982, 69, 131 Calculator

Given Input numbers are 242, 982, 69, 131

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

Divisors of 242

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

1, 2, 11, 22, 121, 242

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 131

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

1, 131

Greatest Common Divisior

We found the divisors of 242, 982, 69, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 982, 69, 131 is 1.

Therefore, GCD of numbers 242, 982, 69, 131 is 1

Given Input Data is 242, 982, 69, 131

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 982 is 2 x 491

Prime Factorization of 69 is 3 x 23

Prime Factorization of 131 is 131

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(242, 982) = 118822

GCD(242, 982) = ( 242 x 982 ) / 118822

GCD(242, 982) = 237644 / 118822

GCD(242, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 242, 982, 69, 131 is 1

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1. What is the GCD of 242, 982, 69, 131?

GCD of 242, 982, 69, 131 is 1

2. Where do I get the detailed procedure to find GCD of 242, 982, 69, 131?

You can find a detailed procedure to find GCD of 242, 982, 69, 131 on our page.

3. How to find GCD of 242, 982, 69, 131 on a calculator?

You can find the GCD of 242, 982, 69, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.