GCD of 900, 488, 51, 755 Calculator

Given Input numbers are 900, 488, 51, 755

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 900, 488, 51, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 488, 51, 755 is 1.

Therefore, GCD of numbers 900, 488, 51, 755 is 1

Given Input Data is 900, 488, 51, 755

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 51 is 3 x 17

Prime Factorization of 755 is 5 x 151

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(900, 488) = 109800

GCD(900, 488) = ( 900 x 488 ) / 109800

GCD(900, 488) = 439200 / 109800

GCD(900, 488) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 51

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

LCM(4, 51) = 204

GCD(4, 51) = ( 4 x 51 ) / 204

GCD(4, 51) = 204 / 204

GCD(4, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 900, 488, 51, 755 is 1

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1. What is the GCD of 900, 488, 51, 755?

GCD of 900, 488, 51, 755 is 1

2. Where do I get the detailed procedure to find GCD of 900, 488, 51, 755?

You can find a detailed procedure to find GCD of 900, 488, 51, 755 on our page.

3. How to find GCD of 900, 488, 51, 755 on a calculator?

You can find the GCD of 900, 488, 51, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.