GCD of 253, 731, 953, 268 Calculator

Given Input numbers are 253, 731, 953, 268

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 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 253, 731, 953, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 731, 953, 268 is 1.

Therefore, GCD of numbers 253, 731, 953, 268 is 1

Given Input Data is 253, 731, 953, 268

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 731 is 17 x 43

Prime Factorization of 953 is 953

Prime Factorization of 268 is 2 x 2 x 67

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, 731) = 184943

GCD(253, 731) = ( 253 x 731 ) / 184943

GCD(253, 731) = 184943 / 184943

GCD(253, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 253, 731, 953, 268 is 1

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1. What is the GCD of 253, 731, 953, 268?

GCD of 253, 731, 953, 268 is 1

2. Where do I get the detailed procedure to find GCD of 253, 731, 953, 268?

You can find a detailed procedure to find GCD of 253, 731, 953, 268 on our page.

3. How to find GCD of 253, 731, 953, 268 on a calculator?

You can find the GCD of 253, 731, 953, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.