GCD of 896, 902, 57, 730 Calculator

Given Input numbers are 896, 902, 57, 730

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 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 896, 902, 57, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 902, 57, 730 is 1.

Therefore, GCD of numbers 896, 902, 57, 730 is 1

Given Input Data is 896, 902, 57, 730

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 902 is 2 x 11 x 41

Prime Factorization of 57 is 3 x 19

Prime Factorization of 730 is 2 x 5 x 73

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, 902) = 404096

GCD(896, 902) = ( 896 x 902 ) / 404096

GCD(896, 902) = 808192 / 404096

GCD(896, 902) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 896, 902, 57, 730 is 1

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1. What is the GCD of 896, 902, 57, 730?

GCD of 896, 902, 57, 730 is 1

2. Where do I get the detailed procedure to find GCD of 896, 902, 57, 730?

You can find a detailed procedure to find GCD of 896, 902, 57, 730 on our page.

3. How to find GCD of 896, 902, 57, 730 on a calculator?

You can find the GCD of 896, 902, 57, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.