GCD of 768, 892, 453, 383 Calculator

Given Input numbers are 768, 892, 453, 383

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

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 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 768, 892, 453, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 892, 453, 383 is 1.

Therefore, GCD of numbers 768, 892, 453, 383 is 1

Given Input Data is 768, 892, 453, 383

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

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 892 is 2 x 2 x 223

Prime Factorization of 453 is 3 x 151

Prime Factorization of 383 is 383

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(768, 892) = 171264

GCD(768, 892) = ( 768 x 892 ) / 171264

GCD(768, 892) = 685056 / 171264

GCD(768, 892) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 453

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

LCM(4, 453) = 1812

GCD(4, 453) = ( 4 x 453 ) / 1812

GCD(4, 453) = 1812 / 1812

GCD(4, 453) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 383

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

LCM(1, 383) = 383

GCD(1, 383) = ( 1 x 383 ) / 383

GCD(1, 383) = 383 / 383

GCD(1, 383) = 1

GCD of 768, 892, 453, 383 is 1

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1. What is the GCD of 768, 892, 453, 383?

GCD of 768, 892, 453, 383 is 1

2. Where do I get the detailed procedure to find GCD of 768, 892, 453, 383?

You can find a detailed procedure to find GCD of 768, 892, 453, 383 on our page.

3. How to find GCD of 768, 892, 453, 383 on a calculator?

You can find the GCD of 768, 892, 453, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.