GCD of 910, 648, 576 Calculator

Given Input numbers are 910, 648, 576

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

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Greatest Common Divisior

We found the divisors of 910, 648, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 648, 576 is 2.

Therefore, GCD of numbers 910, 648, 576 is 2

Given Input Data is 910, 648, 576

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

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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(910, 648) = 294840

GCD(910, 648) = ( 910 x 648 ) / 294840

GCD(910, 648) = 589680 / 294840

GCD(910, 648) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 576

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

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

GCD(2, 576) = 1152 / 576

GCD(2, 576) = 2

GCD of 910, 648, 576 is 2

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1. What is the GCD of 910, 648, 576?

GCD of 910, 648, 576 is 2

2. Where do I get the detailed procedure to find GCD of 910, 648, 576?

You can find a detailed procedure to find GCD of 910, 648, 576 on our page.

3. How to find GCD of 910, 648, 576 on a calculator?

You can find the GCD of 910, 648, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.