GCD of 874, 699, 198, 586 Calculator

Given Input numbers are 874, 699, 198, 586

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 874, 699, 198, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 699, 198, 586 is 1.

Therefore, GCD of numbers 874, 699, 198, 586 is 1

Given Input Data is 874, 699, 198, 586

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 699 is 3 x 233

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 586 is 2 x 293

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(874, 699) = 610926

GCD(874, 699) = ( 874 x 699 ) / 610926

GCD(874, 699) = 610926 / 610926

GCD(874, 699) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 874, 699, 198, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 329, 342, 443
• GCD of 183, 311, 496, 962
• GCD of 567, 541, 183, 724
• GCD of 450, 864, 163, 702
• GCD of 696, 357, 172, 499

1. What is the GCD of 874, 699, 198, 586?

GCD of 874, 699, 198, 586 is 1

2. Where do I get the detailed procedure to find GCD of 874, 699, 198, 586?

You can find a detailed procedure to find GCD of 874, 699, 198, 586 on our page.

3. How to find GCD of 874, 699, 198, 586 on a calculator?

You can find the GCD of 874, 699, 198, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.