GCD of 242, 727, 992, 890 Calculator

Given Input numbers are 242, 727, 992, 890

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 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 242, 727, 992, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 727, 992, 890 is 1.

Therefore, GCD of numbers 242, 727, 992, 890 is 1

Given Input Data is 242, 727, 992, 890

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 727 is 727

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 890 is 2 x 5 x 89

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, 727) = 175934

GCD(242, 727) = ( 242 x 727 ) / 175934

GCD(242, 727) = 175934 / 175934

GCD(242, 727) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

GCD of 242, 727, 992, 890 is 1

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1. What is the GCD of 242, 727, 992, 890?

GCD of 242, 727, 992, 890 is 1

2. Where do I get the detailed procedure to find GCD of 242, 727, 992, 890?

You can find a detailed procedure to find GCD of 242, 727, 992, 890 on our page.

3. How to find GCD of 242, 727, 992, 890 on a calculator?

You can find the GCD of 242, 727, 992, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.