GCD of 23, 741, 242, 992 Calculator

Given Input numbers are 23, 741, 242, 992

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 242

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

1, 2, 11, 22, 121, 242

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

Greatest Common Divisior

We found the divisors of 23, 741, 242, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 741, 242, 992 is 1.

Therefore, GCD of numbers 23, 741, 242, 992 is 1

Given Input Data is 23, 741, 242, 992

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

Prime Factorization of 23 is 23

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 242 is 2 x 11 x 11

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

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(23, 741) = 17043

GCD(23, 741) = ( 23 x 741 ) / 17043

GCD(23, 741) = 17043 / 17043

GCD(23, 741) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

Step3:

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

GCD of 23, 741, 242, 992 is 1

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• GCD of 94, 314, 776, 937
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1. What is the GCD of 23, 741, 242, 992?

GCD of 23, 741, 242, 992 is 1

2. Where do I get the detailed procedure to find GCD of 23, 741, 242, 992?

You can find a detailed procedure to find GCD of 23, 741, 242, 992 on our page.

3. How to find GCD of 23, 741, 242, 992 on a calculator?

You can find the GCD of 23, 741, 242, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.