GCD of 496, 269, 849 Calculator

Given Input numbers are 496, 269, 849

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

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 496, 269, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 269, 849 is 1.

Therefore, GCD of numbers 496, 269, 849 is 1

Given Input Data is 496, 269, 849

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 269 is 269

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(496, 269) = 133424

GCD(496, 269) = ( 496 x 269 ) / 133424

GCD(496, 269) = 133424 / 133424

GCD(496, 269) = 1

Step2:

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 496, 269, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 728, 490
• GCD of 600, 648, 982
• GCD of 548, 537, 160
• GCD of 841, 259, 841
• GCD of 509, 202, 259

1. What is the GCD of 496, 269, 849?

GCD of 496, 269, 849 is 1

2. Where do I get the detailed procedure to find GCD of 496, 269, 849?

You can find a detailed procedure to find GCD of 496, 269, 849 on our page.

3. How to find GCD of 496, 269, 849 on a calculator?

You can find the GCD of 496, 269, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.