GCD of 992, 741, 21, 783 Calculator

Given Input numbers are 992, 741, 21, 783

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

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 741

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

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Greatest Common Divisior

We found the divisors of 992, 741, 21, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 741, 21, 783 is 1.

Therefore, GCD of numbers 992, 741, 21, 783 is 1

Given Input Data is 992, 741, 21, 783

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

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 21 is 3 x 7

Prime Factorization of 783 is 3 x 3 x 3 x 29

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(992, 741) = 735072

GCD(992, 741) = ( 992 x 741 ) / 735072

GCD(992, 741) = 735072 / 735072

GCD(992, 741) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 783

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

LCM(1, 783) = 783

GCD(1, 783) = ( 1 x 783 ) / 783

GCD(1, 783) = 783 / 783

GCD(1, 783) = 1

GCD of 992, 741, 21, 783 is 1

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1. What is the GCD of 992, 741, 21, 783?

GCD of 992, 741, 21, 783 is 1

2. Where do I get the detailed procedure to find GCD of 992, 741, 21, 783?

You can find a detailed procedure to find GCD of 992, 741, 21, 783 on our page.

3. How to find GCD of 992, 741, 21, 783 on a calculator?

You can find the GCD of 992, 741, 21, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.