GCD of 242, 404, 980, 986 Calculator

Given Input numbers are 242, 404, 980, 986

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 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 242, 404, 980, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 404, 980, 986 is 2.

Therefore, GCD of numbers 242, 404, 980, 986 is 2

Given Input Data is 242, 404, 980, 986

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 404 is 2 x 2 x 101

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 986 is 2 x 17 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 404) = 48884

GCD(242, 404) = ( 242 x 404 ) / 48884

GCD(242, 404) = 97768 / 48884

GCD(242, 404) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 980

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

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

GCD(2, 980) = 1960 / 980

GCD(2, 980) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 986

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

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

GCD(2, 986) = 1972 / 986

GCD(2, 986) = 2

GCD of 242, 404, 980, 986 is 2

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1. What is the GCD of 242, 404, 980, 986?

GCD of 242, 404, 980, 986 is 2

2. Where do I get the detailed procedure to find GCD of 242, 404, 980, 986?

You can find a detailed procedure to find GCD of 242, 404, 980, 986 on our page.

3. How to find GCD of 242, 404, 980, 986 on a calculator?

You can find the GCD of 242, 404, 980, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.