GCD of 267, 261, 50, 849 Calculator

Given Input numbers are 267, 261, 50, 849

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

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 267, 261, 50, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 261, 50, 849 is 1.

Therefore, GCD of numbers 267, 261, 50, 849 is 1

Given Input Data is 267, 261, 50, 849

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 849 is 3 x 283

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(267, 261) = 23229

GCD(267, 261) = ( 267 x 261 ) / 23229

GCD(267, 261) = 69687 / 23229

GCD(267, 261) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 50

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

LCM(3, 50) = 150

GCD(3, 50) = ( 3 x 50 ) / 150

GCD(3, 50) = 150 / 150

GCD(3, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 267, 261, 50, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 509, 626, 96, 684
• GCD of 397, 950, 57, 705
• GCD of 726, 801, 44, 319
• GCD of 278, 509, 79, 257
• GCD of 166, 753, 51, 740

1. What is the GCD of 267, 261, 50, 849?

GCD of 267, 261, 50, 849 is 1

2. Where do I get the detailed procedure to find GCD of 267, 261, 50, 849?

You can find a detailed procedure to find GCD of 267, 261, 50, 849 on our page.

3. How to find GCD of 267, 261, 50, 849 on a calculator?

You can find the GCD of 267, 261, 50, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.