GCD of 113, 502, 223, 253 Calculator

Given Input numbers are 113, 502, 223, 253

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 113, 502, 223, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 502, 223, 253 is 1.

Therefore, GCD of numbers 113, 502, 223, 253 is 1

Given Input Data is 113, 502, 223, 253

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

Prime Factorization of 113 is 113

Prime Factorization of 502 is 2 x 251

Prime Factorization of 223 is 223

Prime Factorization of 253 is 11 x 23

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(113, 502) = 56726

GCD(113, 502) = ( 113 x 502 ) / 56726

GCD(113, 502) = 56726 / 56726

GCD(113, 502) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 223

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

LCM(1, 223) = 223

GCD(1, 223) = ( 1 x 223 ) / 223

GCD(1, 223) = 223 / 223

GCD(1, 223) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 113, 502, 223, 253 is 1

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1. What is the GCD of 113, 502, 223, 253?

GCD of 113, 502, 223, 253 is 1

2. Where do I get the detailed procedure to find GCD of 113, 502, 223, 253?

You can find a detailed procedure to find GCD of 113, 502, 223, 253 on our page.

3. How to find GCD of 113, 502, 223, 253 on a calculator?

You can find the GCD of 113, 502, 223, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.