GCD of 455, 120, 503, 825 Calculator

Given Input numbers are 455, 120, 503, 825

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

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 455, 120, 503, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 120, 503, 825 is 1.

Therefore, GCD of numbers 455, 120, 503, 825 is 1

Given Input Data is 455, 120, 503, 825

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

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 503 is 503

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(455, 120) = 10920

GCD(455, 120) = ( 455 x 120 ) / 10920

GCD(455, 120) = 54600 / 10920

GCD(455, 120) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 503

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

LCM(5, 503) = 2515

GCD(5, 503) = ( 5 x 503 ) / 2515

GCD(5, 503) = 2515 / 2515

GCD(5, 503) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 455, 120, 503, 825 is 1

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1. What is the GCD of 455, 120, 503, 825?

GCD of 455, 120, 503, 825 is 1

2. Where do I get the detailed procedure to find GCD of 455, 120, 503, 825?

You can find a detailed procedure to find GCD of 455, 120, 503, 825 on our page.

3. How to find GCD of 455, 120, 503, 825 on a calculator?

You can find the GCD of 455, 120, 503, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.