GCD of 281, 735, 14, 897 Calculator

Given Input numbers are 281, 735, 14, 897

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

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 281, 735, 14, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 281, 735, 14, 897 is 1.

Therefore, GCD of numbers 281, 735, 14, 897 is 1

Given Input Data is 281, 735, 14, 897

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

Prime Factorization of 281 is 281

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 14 is 2 x 7

Prime Factorization of 897 is 3 x 13 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(281, 735) = 206535

GCD(281, 735) = ( 281 x 735 ) / 206535

GCD(281, 735) = 206535 / 206535

GCD(281, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 897

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

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

GCD(1, 897) = 897 / 897

GCD(1, 897) = 1

GCD of 281, 735, 14, 897 is 1

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1. What is the GCD of 281, 735, 14, 897?

GCD of 281, 735, 14, 897 is 1

2. Where do I get the detailed procedure to find GCD of 281, 735, 14, 897?

You can find a detailed procedure to find GCD of 281, 735, 14, 897 on our page.

3. How to find GCD of 281, 735, 14, 897 on a calculator?

You can find the GCD of 281, 735, 14, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.