GCD of 896, 490, 336, 361 Calculator

Given Input numbers are 896, 490, 336, 361

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

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

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 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 896, 490, 336, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 490, 336, 361 is 1.

Therefore, GCD of numbers 896, 490, 336, 361 is 1

Given Input Data is 896, 490, 336, 361

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

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

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 361 is 19 x 19

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(896, 490) = 31360

GCD(896, 490) = ( 896 x 490 ) / 31360

GCD(896, 490) = 439040 / 31360

GCD(896, 490) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 336

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

LCM(14, 336) = 336

GCD(14, 336) = ( 14 x 336 ) / 336

GCD(14, 336) = 4704 / 336

GCD(14, 336) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 361

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

LCM(14, 361) = 5054

GCD(14, 361) = ( 14 x 361 ) / 5054

GCD(14, 361) = 5054 / 5054

GCD(14, 361) = 1

GCD of 896, 490, 336, 361 is 1

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1. What is the GCD of 896, 490, 336, 361?

GCD of 896, 490, 336, 361 is 1

2. Where do I get the detailed procedure to find GCD of 896, 490, 336, 361?

You can find a detailed procedure to find GCD of 896, 490, 336, 361 on our page.

3. How to find GCD of 896, 490, 336, 361 on a calculator?

You can find the GCD of 896, 490, 336, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.