GCD of 311, 704, 24, 253 Calculator

Given Input numbers are 311, 704, 24, 253

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

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

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 311, 704, 24, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 704, 24, 253 is 1.

Therefore, GCD of numbers 311, 704, 24, 253 is 1

Given Input Data is 311, 704, 24, 253

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

Prime Factorization of 311 is 311

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 24 is 2 x 2 x 2 x 3

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(311, 704) = 218944

GCD(311, 704) = ( 311 x 704 ) / 218944

GCD(311, 704) = 218944 / 218944

GCD(311, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 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 311, 704, 24, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 476, 69, 644
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• GCD of 838, 454, 37, 437
• GCD of 572, 741, 37, 539
• GCD of 993, 246, 71, 226

1. What is the GCD of 311, 704, 24, 253?

GCD of 311, 704, 24, 253 is 1

2. Where do I get the detailed procedure to find GCD of 311, 704, 24, 253?

You can find a detailed procedure to find GCD of 311, 704, 24, 253 on our page.

3. How to find GCD of 311, 704, 24, 253 on a calculator?

You can find the GCD of 311, 704, 24, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.