GCD of 976, 256, 648 Calculator

Given Input numbers are 976, 256, 648

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

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

Greatest Common Divisior

We found the divisors of 976, 256, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 256, 648 is 8.

Therefore, GCD of numbers 976, 256, 648 is 8

Given Input Data is 976, 256, 648

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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(976, 256) = 15616

GCD(976, 256) = ( 976 x 256 ) / 15616

GCD(976, 256) = 249856 / 15616

GCD(976, 256) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 648

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

LCM(16, 648) = 1296

GCD(16, 648) = ( 16 x 648 ) / 1296

GCD(16, 648) = 10368 / 1296

GCD(16, 648) = 8

GCD of 976, 256, 648 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 135, 154
• GCD of 534, 880, 541
• GCD of 437, 866, 534
• GCD of 295, 631, 249
• GCD of 440, 738, 653

1. What is the GCD of 976, 256, 648?

GCD of 976, 256, 648 is 8

2. Where do I get the detailed procedure to find GCD of 976, 256, 648?

You can find a detailed procedure to find GCD of 976, 256, 648 on our page.

3. How to find GCD of 976, 256, 648 on a calculator?

You can find the GCD of 976, 256, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.