GCD of 873, 194, 99, 274 Calculator

Given Input numbers are 873, 194, 99, 274

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

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 873, 194, 99, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 194, 99, 274 is 1.

Therefore, GCD of numbers 873, 194, 99, 274 is 1

Given Input Data is 873, 194, 99, 274

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

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 194 is 2 x 97

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 274 is 2 x 137

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(873, 194) = 1746

GCD(873, 194) = ( 873 x 194 ) / 1746

GCD(873, 194) = 169362 / 1746

GCD(873, 194) = 97

Step2:

Here we consider the GCD from the above i.e. 97 as first number and the next as 99

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

LCM(97, 99) = 9603

GCD(97, 99) = ( 97 x 99 ) / 9603

GCD(97, 99) = 9603 / 9603

GCD(97, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 873, 194, 99, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 219, 66, 894
• GCD of 594, 136, 30, 290
• GCD of 839, 403, 31, 493
• GCD of 652, 278, 54, 984
• GCD of 771, 554, 52, 575

1. What is the GCD of 873, 194, 99, 274?

GCD of 873, 194, 99, 274 is 1

2. Where do I get the detailed procedure to find GCD of 873, 194, 99, 274?

You can find a detailed procedure to find GCD of 873, 194, 99, 274 on our page.

3. How to find GCD of 873, 194, 99, 274 on a calculator?

You can find the GCD of 873, 194, 99, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.