GCD of 224, 842, 329, 357 Calculator

Given Input numbers are 224, 842, 329, 357

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 224, 842, 329, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 842, 329, 357 is 1.

Therefore, GCD of numbers 224, 842, 329, 357 is 1

Given Input Data is 224, 842, 329, 357

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 842 is 2 x 421

Prime Factorization of 329 is 7 x 47

Prime Factorization of 357 is 3 x 7 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(224, 842) = 94304

GCD(224, 842) = ( 224 x 842 ) / 94304

GCD(224, 842) = 188608 / 94304

GCD(224, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 329

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

LCM(2, 329) = 658

GCD(2, 329) = ( 2 x 329 ) / 658

GCD(2, 329) = 658 / 658

GCD(2, 329) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

GCD of 224, 842, 329, 357 is 1

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1. What is the GCD of 224, 842, 329, 357?

GCD of 224, 842, 329, 357 is 1

2. Where do I get the detailed procedure to find GCD of 224, 842, 329, 357?

You can find a detailed procedure to find GCD of 224, 842, 329, 357 on our page.

3. How to find GCD of 224, 842, 329, 357 on a calculator?

You can find the GCD of 224, 842, 329, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.