GCD of 253, 736, 71, 301 Calculator

Given Input numbers are 253, 736, 71, 301

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 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 253, 736, 71, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 736, 71, 301 is 1.

Therefore, GCD of numbers 253, 736, 71, 301 is 1

Given Input Data is 253, 736, 71, 301

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 71 is 71

Prime Factorization of 301 is 7 x 43

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, 736) = 8096

GCD(253, 736) = ( 253 x 736 ) / 8096

GCD(253, 736) = 186208 / 8096

GCD(253, 736) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 71

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

LCM(23, 71) = 1633

GCD(23, 71) = ( 23 x 71 ) / 1633

GCD(23, 71) = 1633 / 1633

GCD(23, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 253, 736, 71, 301 is 1

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• GCD of 139, 560, 22, 355
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1. What is the GCD of 253, 736, 71, 301?

GCD of 253, 736, 71, 301 is 1

2. Where do I get the detailed procedure to find GCD of 253, 736, 71, 301?

You can find a detailed procedure to find GCD of 253, 736, 71, 301 on our page.

3. How to find GCD of 253, 736, 71, 301 on a calculator?

You can find the GCD of 253, 736, 71, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.