GCD of 253, 251, 749 Calculator

Given Input numbers are 253, 251, 749

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

Divisors of 253

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

1, 11, 23, 253

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 253, 251, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 251, 749 is 1.

Therefore, GCD of numbers 253, 251, 749 is 1

Given Input Data is 253, 251, 749

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 251 is 251

Prime Factorization of 749 is 7 x 107

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(253, 251) = 63503

GCD(253, 251) = ( 253 x 251 ) / 63503

GCD(253, 251) = 63503 / 63503

GCD(253, 251) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 253, 251, 749 is 1

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1. What is the GCD of 253, 251, 749?

GCD of 253, 251, 749 is 1

2. Where do I get the detailed procedure to find GCD of 253, 251, 749?

You can find a detailed procedure to find GCD of 253, 251, 749 on our page.

3. How to find GCD of 253, 251, 749 on a calculator?

You can find the GCD of 253, 251, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.