GCD of 418, 268, 298, 889 Calculator

Given Input numbers are 418, 268, 298, 889

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 298

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

1, 2, 149, 298

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 418, 268, 298, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 268, 298, 889 is 1.

Therefore, GCD of numbers 418, 268, 298, 889 is 1

Given Input Data is 418, 268, 298, 889

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 298 is 2 x 149

Prime Factorization of 889 is 7 x 127

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(418, 268) = 56012

GCD(418, 268) = ( 418 x 268 ) / 56012

GCD(418, 268) = 112024 / 56012

GCD(418, 268) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 298

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

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

GCD(2, 298) = 596 / 298

GCD(2, 298) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 889

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

LCM(2, 889) = 1778

GCD(2, 889) = ( 2 x 889 ) / 1778

GCD(2, 889) = 1778 / 1778

GCD(2, 889) = 1

GCD of 418, 268, 298, 889 is 1

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1. What is the GCD of 418, 268, 298, 889?

GCD of 418, 268, 298, 889 is 1

2. Where do I get the detailed procedure to find GCD of 418, 268, 298, 889?

You can find a detailed procedure to find GCD of 418, 268, 298, 889 on our page.

3. How to find GCD of 418, 268, 298, 889 on a calculator?

You can find the GCD of 418, 268, 298, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.