GCD of 457, 194, 224, 320 Calculator

Given Input numbers are 457, 194, 224, 320

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

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 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 457, 194, 224, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 194, 224, 320 is 1.

Therefore, GCD of numbers 457, 194, 224, 320 is 1

Given Input Data is 457, 194, 224, 320

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

Prime Factorization of 457 is 457

Prime Factorization of 194 is 2 x 97

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(457, 194) = 88658

GCD(457, 194) = ( 457 x 194 ) / 88658

GCD(457, 194) = 88658 / 88658

GCD(457, 194) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 457, 194, 224, 320 is 1

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1. What is the GCD of 457, 194, 224, 320?

GCD of 457, 194, 224, 320 is 1

2. Where do I get the detailed procedure to find GCD of 457, 194, 224, 320?

You can find a detailed procedure to find GCD of 457, 194, 224, 320 on our page.

3. How to find GCD of 457, 194, 224, 320 on a calculator?

You can find the GCD of 457, 194, 224, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.