GCD of 618, 198, 867, 699 Calculator

Given Input numbers are 618, 198, 867, 699

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

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

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 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 699

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

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 618, 198, 867, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 198, 867, 699 is 3.

Therefore, GCD of numbers 618, 198, 867, 699 is 3

Given Input Data is 618, 198, 867, 699

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

Prime Factorization of 618 is 2 x 3 x 103

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 699 is 3 x 233

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(618, 198) = 20394

GCD(618, 198) = ( 618 x 198 ) / 20394

GCD(618, 198) = 122364 / 20394

GCD(618, 198) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 867

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

LCM(6, 867) = 1734

GCD(6, 867) = ( 6 x 867 ) / 1734

GCD(6, 867) = 5202 / 1734

GCD(6, 867) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 699

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

LCM(3, 699) = 699

GCD(3, 699) = ( 3 x 699 ) / 699

GCD(3, 699) = 2097 / 699

GCD(3, 699) = 3

GCD of 618, 198, 867, 699 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 566, 236, 563
• GCD of 889, 484, 155, 830
• GCD of 670, 483, 758, 739
• GCD of 708, 388, 471, 371
• GCD of 595, 139, 244, 153

1. What is the GCD of 618, 198, 867, 699?

GCD of 618, 198, 867, 699 is 3

2. Where do I get the detailed procedure to find GCD of 618, 198, 867, 699?

You can find a detailed procedure to find GCD of 618, 198, 867, 699 on our page.

3. How to find GCD of 618, 198, 867, 699 on a calculator?

You can find the GCD of 618, 198, 867, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.