GCD of 654, 888, 717, 982 Calculator

Given Input numbers are 654, 888, 717, 982

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

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 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 982

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

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 654, 888, 717, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 888, 717, 982 is 1.

Therefore, GCD of numbers 654, 888, 717, 982 is 1

Given Input Data is 654, 888, 717, 982

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 717 is 3 x 239

Prime Factorization of 982 is 2 x 491

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(654, 888) = 96792

GCD(654, 888) = ( 654 x 888 ) / 96792

GCD(654, 888) = 580752 / 96792

GCD(654, 888) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 717

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

LCM(6, 717) = 1434

GCD(6, 717) = ( 6 x 717 ) / 1434

GCD(6, 717) = 4302 / 1434

GCD(6, 717) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 982

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

LCM(3, 982) = 2946

GCD(3, 982) = ( 3 x 982 ) / 2946

GCD(3, 982) = 2946 / 2946

GCD(3, 982) = 1

GCD of 654, 888, 717, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 805, 457, 662
• GCD of 369, 136, 501, 921
• GCD of 792, 509, 678, 236
• GCD of 398, 770, 442, 784
• GCD of 303, 466, 655, 754

1. What is the GCD of 654, 888, 717, 982?

GCD of 654, 888, 717, 982 is 1

2. Where do I get the detailed procedure to find GCD of 654, 888, 717, 982?

You can find a detailed procedure to find GCD of 654, 888, 717, 982 on our page.

3. How to find GCD of 654, 888, 717, 982 on a calculator?

You can find the GCD of 654, 888, 717, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.