GCD of 576, 768, 92, 742 Calculator

Given Input numbers are 576, 768, 92, 742

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 576, 768, 92, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 768, 92, 742 is 2.

Therefore, GCD of numbers 576, 768, 92, 742 is 2

Given Input Data is 576, 768, 92, 742

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 742 is 2 x 7 x 53

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(576, 768) = 2304

GCD(576, 768) = ( 576 x 768 ) / 2304

GCD(576, 768) = 442368 / 2304

GCD(576, 768) = 192

Step2:

Here we consider the GCD from the above i.e. 192 as first number and the next as 92

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

LCM(192, 92) = 4416

GCD(192, 92) = ( 192 x 92 ) / 4416

GCD(192, 92) = 17664 / 4416

GCD(192, 92) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 742

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

LCM(4, 742) = 1484

GCD(4, 742) = ( 4 x 742 ) / 1484

GCD(4, 742) = 2968 / 1484

GCD(4, 742) = 2

GCD of 576, 768, 92, 742 is 2

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• GCD of 189, 259, 59, 797
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1. What is the GCD of 576, 768, 92, 742?

GCD of 576, 768, 92, 742 is 2

2. Where do I get the detailed procedure to find GCD of 576, 768, 92, 742?

You can find a detailed procedure to find GCD of 576, 768, 92, 742 on our page.

3. How to find GCD of 576, 768, 92, 742 on a calculator?

You can find the GCD of 576, 768, 92, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.