GCD of 407, 768, 96, 637 Calculator

Given Input numbers are 407, 768, 96, 637

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

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 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 407, 768, 96, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 768, 96, 637 is 1.

Therefore, GCD of numbers 407, 768, 96, 637 is 1

Given Input Data is 407, 768, 96, 637

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

Prime Factorization of 407 is 11 x 37

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 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 637 is 7 x 7 x 13

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(407, 768) = 312576

GCD(407, 768) = ( 407 x 768 ) / 312576

GCD(407, 768) = 312576 / 312576

GCD(407, 768) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 637

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

LCM(1, 637) = 637

GCD(1, 637) = ( 1 x 637 ) / 637

GCD(1, 637) = 637 / 637

GCD(1, 637) = 1

GCD of 407, 768, 96, 637 is 1

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1. What is the GCD of 407, 768, 96, 637?

GCD of 407, 768, 96, 637 is 1

2. Where do I get the detailed procedure to find GCD of 407, 768, 96, 637?

You can find a detailed procedure to find GCD of 407, 768, 96, 637 on our page.

3. How to find GCD of 407, 768, 96, 637 on a calculator?

You can find the GCD of 407, 768, 96, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.