GCD of 506, 768, 772 Calculator

Given Input numbers are 506, 768, 772

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

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 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 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 506, 768, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 768, 772 is 2.

Therefore, GCD of numbers 506, 768, 772 is 2

Given Input Data is 506, 768, 772

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

Prime Factorization of 506 is 2 x 11 x 23

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 772 is 2 x 2 x 193

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(506, 768) = 194304

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

GCD(506, 768) = 388608 / 194304

GCD(506, 768) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 772

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

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

GCD(2, 772) = 1544 / 772

GCD(2, 772) = 2

GCD of 506, 768, 772 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 155, 848
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• GCD of 271, 572, 919
• GCD of 249, 660, 818
• GCD of 465, 138, 957

1. What is the GCD of 506, 768, 772?

GCD of 506, 768, 772 is 2

2. Where do I get the detailed procedure to find GCD of 506, 768, 772?

You can find a detailed procedure to find GCD of 506, 768, 772 on our page.

3. How to find GCD of 506, 768, 772 on a calculator?

You can find the GCD of 506, 768, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.