GCD of 298, 686, 72, 897 Calculator

Given Input numbers are 298, 686, 72, 897

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 298, 686, 72, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 686, 72, 897 is 1.

Therefore, GCD of numbers 298, 686, 72, 897 is 1

Given Input Data is 298, 686, 72, 897

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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(298, 686) = 102214

GCD(298, 686) = ( 298 x 686 ) / 102214

GCD(298, 686) = 204428 / 102214

GCD(298, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 897

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

LCM(2, 897) = 1794

GCD(2, 897) = ( 2 x 897 ) / 1794

GCD(2, 897) = 1794 / 1794

GCD(2, 897) = 1

GCD of 298, 686, 72, 897 is 1

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1. What is the GCD of 298, 686, 72, 897?

GCD of 298, 686, 72, 897 is 1

2. Where do I get the detailed procedure to find GCD of 298, 686, 72, 897?

You can find a detailed procedure to find GCD of 298, 686, 72, 897 on our page.

3. How to find GCD of 298, 686, 72, 897 on a calculator?

You can find the GCD of 298, 686, 72, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.