GCD of 902, 457, 48, 733 Calculator

Given Input numbers are 902, 457, 48, 733

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

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 457

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

1, 457

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Greatest Common Divisior

We found the divisors of 902, 457, 48, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 457, 48, 733 is 1.

Therefore, GCD of numbers 902, 457, 48, 733 is 1

Given Input Data is 902, 457, 48, 733

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 457 is 457

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 733 is 733

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(902, 457) = 412214

GCD(902, 457) = ( 902 x 457 ) / 412214

GCD(902, 457) = 412214 / 412214

GCD(902, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 733

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

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

GCD(1, 733) = 733 / 733

GCD(1, 733) = 1

GCD of 902, 457, 48, 733 is 1

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1. What is the GCD of 902, 457, 48, 733?

GCD of 902, 457, 48, 733 is 1

2. Where do I get the detailed procedure to find GCD of 902, 457, 48, 733?

You can find a detailed procedure to find GCD of 902, 457, 48, 733 on our page.

3. How to find GCD of 902, 457, 48, 733 on a calculator?

You can find the GCD of 902, 457, 48, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.