GCD of 982, 654, 718, 299 Calculator

Given Input numbers are 982, 654, 718, 299

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

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 982, 654, 718, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 654, 718, 299 is 1.

Therefore, GCD of numbers 982, 654, 718, 299 is 1

Given Input Data is 982, 654, 718, 299

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 718 is 2 x 359

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(982, 654) = 321114

GCD(982, 654) = ( 982 x 654 ) / 321114

GCD(982, 654) = 642228 / 321114

GCD(982, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 718

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

LCM(2, 718) = 718

GCD(2, 718) = ( 2 x 718 ) / 718

GCD(2, 718) = 1436 / 718

GCD(2, 718) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 299

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

LCM(2, 299) = 598

GCD(2, 299) = ( 2 x 299 ) / 598

GCD(2, 299) = 598 / 598

GCD(2, 299) = 1

GCD of 982, 654, 718, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 835, 698, 271
• GCD of 682, 609, 434, 299
• GCD of 376, 143, 682, 252
• GCD of 237, 348, 934, 593
• GCD of 718, 386, 424, 551

1. What is the GCD of 982, 654, 718, 299?

GCD of 982, 654, 718, 299 is 1

2. Where do I get the detailed procedure to find GCD of 982, 654, 718, 299?

You can find a detailed procedure to find GCD of 982, 654, 718, 299 on our page.

3. How to find GCD of 982, 654, 718, 299 on a calculator?

You can find the GCD of 982, 654, 718, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.