GCD of 95, 698, 324, 299 Calculator

Given Input numbers are 95, 698, 324, 299

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

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 95, 698, 324, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 95, 698, 324, 299 is 1.

Therefore, GCD of numbers 95, 698, 324, 299 is 1

Given Input Data is 95, 698, 324, 299

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

Prime Factorization of 95 is 5 x 19

Prime Factorization of 698 is 2 x 349

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 299 is 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(95, 698) = 66310

GCD(95, 698) = ( 95 x 698 ) / 66310

GCD(95, 698) = 66310 / 66310

GCD(95, 698) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 95, 698, 324, 299 is 1

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1. What is the GCD of 95, 698, 324, 299?

GCD of 95, 698, 324, 299 is 1

2. Where do I get the detailed procedure to find GCD of 95, 698, 324, 299?

You can find a detailed procedure to find GCD of 95, 698, 324, 299 on our page.

3. How to find GCD of 95, 698, 324, 299 on a calculator?

You can find the GCD of 95, 698, 324, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.