GCD of 457, 896, 90, 794 Calculator

Given Input numbers are 457, 896, 90, 794

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 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 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Greatest Common Divisior

We found the divisors of 457, 896, 90, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 896, 90, 794 is 1.

Therefore, GCD of numbers 457, 896, 90, 794 is 1

Given Input Data is 457, 896, 90, 794

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

Prime Factorization of 457 is 457

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 794 is 2 x 397

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, 896) = 409472

GCD(457, 896) = ( 457 x 896 ) / 409472

GCD(457, 896) = 409472 / 409472

GCD(457, 896) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 794

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

LCM(1, 794) = 794

GCD(1, 794) = ( 1 x 794 ) / 794

GCD(1, 794) = 794 / 794

GCD(1, 794) = 1

GCD of 457, 896, 90, 794 is 1

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1. What is the GCD of 457, 896, 90, 794?

GCD of 457, 896, 90, 794 is 1

2. Where do I get the detailed procedure to find GCD of 457, 896, 90, 794?

You can find a detailed procedure to find GCD of 457, 896, 90, 794 on our page.

3. How to find GCD of 457, 896, 90, 794 on a calculator?

You can find the GCD of 457, 896, 90, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.