GCD of 768, 506, 72, 635 Calculator

Given Input numbers are 768, 506, 72, 635

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 768, 506, 72, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 506, 72, 635 is 1.

Therefore, GCD of numbers 768, 506, 72, 635 is 1

Given Input Data is 768, 506, 72, 635

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 506 is 2 x 11 x 23

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 635 is 5 x 127

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, 506) = 194304

GCD(768, 506) = ( 768 x 506 ) / 194304

GCD(768, 506) = 388608 / 194304

GCD(768, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 635

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

LCM(2, 635) = 1270

GCD(2, 635) = ( 2 x 635 ) / 1270

GCD(2, 635) = 1270 / 1270

GCD(2, 635) = 1

GCD of 768, 506, 72, 635 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 601, 72, 976
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• GCD of 902, 179, 95, 817

1. What is the GCD of 768, 506, 72, 635?

GCD of 768, 506, 72, 635 is 1

2. Where do I get the detailed procedure to find GCD of 768, 506, 72, 635?

You can find a detailed procedure to find GCD of 768, 506, 72, 635 on our page.

3. How to find GCD of 768, 506, 72, 635 on a calculator?

You can find the GCD of 768, 506, 72, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.