GCD of 800, 906, 757, 457 Calculator

Given Input numbers are 800, 906, 757, 457

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 457

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

1, 457

Greatest Common Divisior

We found the divisors of 800, 906, 757, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 906, 757, 457 is 1.

Therefore, GCD of numbers 800, 906, 757, 457 is 1

Given Input Data is 800, 906, 757, 457

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 757 is 757

Prime Factorization of 457 is 457

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(800, 906) = 362400

GCD(800, 906) = ( 800 x 906 ) / 362400

GCD(800, 906) = 724800 / 362400

GCD(800, 906) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 757

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

LCM(2, 757) = 1514

GCD(2, 757) = ( 2 x 757 ) / 1514

GCD(2, 757) = 1514 / 1514

GCD(2, 757) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 800, 906, 757, 457 is 1

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1. What is the GCD of 800, 906, 757, 457?

GCD of 800, 906, 757, 457 is 1

2. Where do I get the detailed procedure to find GCD of 800, 906, 757, 457?

You can find a detailed procedure to find GCD of 800, 906, 757, 457 on our page.

3. How to find GCD of 800, 906, 757, 457 on a calculator?

You can find the GCD of 800, 906, 757, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.