GCD of 84, 198, 673, 841 Calculator

Given Input numbers are 84, 198, 673, 841

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 673

List of positive integer divisors of 673 that divides 673 without a remainder.

1, 673

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Greatest Common Divisior

We found the divisors of 84, 198, 673, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 198, 673, 841 is 1.

Therefore, GCD of numbers 84, 198, 673, 841 is 1

Given Input Data is 84, 198, 673, 841

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

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

Prime Factorization of 673 is 673

Prime Factorization of 841 is 29 x 29

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(84, 198) = 2772

GCD(84, 198) = ( 84 x 198 ) / 2772

GCD(84, 198) = 16632 / 2772

GCD(84, 198) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 673

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

LCM(6, 673) = 4038

GCD(6, 673) = ( 6 x 673 ) / 4038

GCD(6, 673) = 4038 / 4038

GCD(6, 673) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 841

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

LCM(1, 841) = 841

GCD(1, 841) = ( 1 x 841 ) / 841

GCD(1, 841) = 841 / 841

GCD(1, 841) = 1

GCD of 84, 198, 673, 841 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 705, 249, 992
• GCD of 16, 121, 573, 148
• GCD of 40, 143, 323, 739
• GCD of 75, 859, 994, 307
• GCD of 79, 699, 666, 957

1. What is the GCD of 84, 198, 673, 841?

GCD of 84, 198, 673, 841 is 1

2. Where do I get the detailed procedure to find GCD of 84, 198, 673, 841?

You can find a detailed procedure to find GCD of 84, 198, 673, 841 on our page.

3. How to find GCD of 84, 198, 673, 841 on a calculator?

You can find the GCD of 84, 198, 673, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.