GCD of 462, 510, 772, 896 Calculator

Given Input numbers are 462, 510, 772, 896

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 772

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

1, 2, 4, 193, 386, 772

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Greatest Common Divisior

We found the divisors of 462, 510, 772, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 510, 772, 896 is 2.

Therefore, GCD of numbers 462, 510, 772, 896 is 2

Given Input Data is 462, 510, 772, 896

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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(462, 510) = 39270

GCD(462, 510) = ( 462 x 510 ) / 39270

GCD(462, 510) = 235620 / 39270

GCD(462, 510) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 772

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

LCM(6, 772) = 2316

GCD(6, 772) = ( 6 x 772 ) / 2316

GCD(6, 772) = 4632 / 2316

GCD(6, 772) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 896

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

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

GCD(2, 896) = 1792 / 896

GCD(2, 896) = 2

GCD of 462, 510, 772, 896 is 2

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1. What is the GCD of 462, 510, 772, 896?

GCD of 462, 510, 772, 896 is 2

2. Where do I get the detailed procedure to find GCD of 462, 510, 772, 896?

You can find a detailed procedure to find GCD of 462, 510, 772, 896 on our page.

3. How to find GCD of 462, 510, 772, 896 on a calculator?

You can find the GCD of 462, 510, 772, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.