GCD of 898, 497, 703, 253 Calculator

Given Input numbers are 898, 497, 703, 253

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

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 898, 497, 703, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 497, 703, 253 is 1.

Therefore, GCD of numbers 898, 497, 703, 253 is 1

Given Input Data is 898, 497, 703, 253

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 497 is 7 x 71

Prime Factorization of 703 is 19 x 37

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(898, 497) = 446306

GCD(898, 497) = ( 898 x 497 ) / 446306

GCD(898, 497) = 446306 / 446306

GCD(898, 497) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 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 898, 497, 703, 253 is 1

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1. What is the GCD of 898, 497, 703, 253?

GCD of 898, 497, 703, 253 is 1

2. Where do I get the detailed procedure to find GCD of 898, 497, 703, 253?

You can find a detailed procedure to find GCD of 898, 497, 703, 253 on our page.

3. How to find GCD of 898, 497, 703, 253 on a calculator?

You can find the GCD of 898, 497, 703, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.