GCD of 198, 862, 273, 150 Calculator

Given Input numbers are 198, 862, 273, 150

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

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 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 198, 862, 273, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 862, 273, 150 is 1.

Therefore, GCD of numbers 198, 862, 273, 150 is 1

Given Input Data is 198, 862, 273, 150

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

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

Prime Factorization of 862 is 2 x 431

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 150 is 2 x 3 x 5 x 5

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(198, 862) = 85338

GCD(198, 862) = ( 198 x 862 ) / 85338

GCD(198, 862) = 170676 / 85338

GCD(198, 862) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 273

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

LCM(2, 273) = 546

GCD(2, 273) = ( 2 x 273 ) / 546

GCD(2, 273) = 546 / 546

GCD(2, 273) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

GCD of 198, 862, 273, 150 is 1

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1. What is the GCD of 198, 862, 273, 150?

GCD of 198, 862, 273, 150 is 1

2. Where do I get the detailed procedure to find GCD of 198, 862, 273, 150?

You can find a detailed procedure to find GCD of 198, 862, 273, 150 on our page.

3. How to find GCD of 198, 862, 273, 150 on a calculator?

You can find the GCD of 198, 862, 273, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.