GCD of 898, 767, 18, 724 Calculator

Given Input numbers are 898, 767, 18, 724

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 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 898, 767, 18, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 767, 18, 724 is 1.

Therefore, GCD of numbers 898, 767, 18, 724 is 1

Given Input Data is 898, 767, 18, 724

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 767 is 13 x 59

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 724 is 2 x 2 x 181

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, 767) = 688766

GCD(898, 767) = ( 898 x 767 ) / 688766

GCD(898, 767) = 688766 / 688766

GCD(898, 767) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 898, 767, 18, 724 is 1

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1. What is the GCD of 898, 767, 18, 724?

GCD of 898, 767, 18, 724 is 1

2. Where do I get the detailed procedure to find GCD of 898, 767, 18, 724?

You can find a detailed procedure to find GCD of 898, 767, 18, 724 on our page.

3. How to find GCD of 898, 767, 18, 724 on a calculator?

You can find the GCD of 898, 767, 18, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.