GCD of 998, 287, 67, 325 Calculator

Given Input numbers are 998, 287, 67, 325

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Greatest Common Divisior

We found the divisors of 998, 287, 67, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 287, 67, 325 is 1.

Therefore, GCD of numbers 998, 287, 67, 325 is 1

Given Input Data is 998, 287, 67, 325

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 287 is 7 x 41

Prime Factorization of 67 is 67

Prime Factorization of 325 is 5 x 5 x 13

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(998, 287) = 286426

GCD(998, 287) = ( 998 x 287 ) / 286426

GCD(998, 287) = 286426 / 286426

GCD(998, 287) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 325

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

LCM(1, 325) = 325

GCD(1, 325) = ( 1 x 325 ) / 325

GCD(1, 325) = 325 / 325

GCD(1, 325) = 1

GCD of 998, 287, 67, 325 is 1

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1. What is the GCD of 998, 287, 67, 325?

GCD of 998, 287, 67, 325 is 1

2. Where do I get the detailed procedure to find GCD of 998, 287, 67, 325?

You can find a detailed procedure to find GCD of 998, 287, 67, 325 on our page.

3. How to find GCD of 998, 287, 67, 325 on a calculator?

You can find the GCD of 998, 287, 67, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.