GCD of 480, 826, 56, 289 Calculator

Given Input numbers are 480, 826, 56, 289

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 480, 826, 56, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 826, 56, 289 is 1.

Therefore, GCD of numbers 480, 826, 56, 289 is 1

Given Input Data is 480, 826, 56, 289

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 289 is 17 x 17

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(480, 826) = 198240

GCD(480, 826) = ( 480 x 826 ) / 198240

GCD(480, 826) = 396480 / 198240

GCD(480, 826) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 289

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

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

GCD(2, 289) = 578 / 578

GCD(2, 289) = 1

GCD of 480, 826, 56, 289 is 1

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• GCD of 924, 854, 11, 642
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• GCD of 151, 670, 76, 279

1. What is the GCD of 480, 826, 56, 289?

GCD of 480, 826, 56, 289 is 1

2. Where do I get the detailed procedure to find GCD of 480, 826, 56, 289?

You can find a detailed procedure to find GCD of 480, 826, 56, 289 on our page.

3. How to find GCD of 480, 826, 56, 289 on a calculator?

You can find the GCD of 480, 826, 56, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.