GCD of 363, 332, 490, 896 Calculator

Given Input numbers are 363, 332, 490, 896

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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 363, 332, 490, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 332, 490, 896 is 1.

Therefore, GCD of numbers 363, 332, 490, 896 is 1

Given Input Data is 363, 332, 490, 896

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 490 is 2 x 5 x 7 x 7

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

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(363, 332) = 120516

GCD(363, 332) = ( 363 x 332 ) / 120516

GCD(363, 332) = 120516 / 120516

GCD(363, 332) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

GCD of 363, 332, 490, 896 is 1

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1. What is the GCD of 363, 332, 490, 896?

GCD of 363, 332, 490, 896 is 1

2. Where do I get the detailed procedure to find GCD of 363, 332, 490, 896?

You can find a detailed procedure to find GCD of 363, 332, 490, 896 on our page.

3. How to find GCD of 363, 332, 490, 896 on a calculator?

You can find the GCD of 363, 332, 490, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.