GCD of 169, 286, 803, 235 Calculator

Given Input numbers are 169, 286, 803, 235

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

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 169, 286, 803, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 286, 803, 235 is 1.

Therefore, GCD of numbers 169, 286, 803, 235 is 1

Given Input Data is 169, 286, 803, 235

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 803 is 11 x 73

Prime Factorization of 235 is 5 x 47

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(169, 286) = 3718

GCD(169, 286) = ( 169 x 286 ) / 3718

GCD(169, 286) = 48334 / 3718

GCD(169, 286) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 803

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

LCM(13, 803) = 10439

GCD(13, 803) = ( 13 x 803 ) / 10439

GCD(13, 803) = 10439 / 10439

GCD(13, 803) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 235

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

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

GCD(1, 235) = 235 / 235

GCD(1, 235) = 1

GCD of 169, 286, 803, 235 is 1

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1. What is the GCD of 169, 286, 803, 235?

GCD of 169, 286, 803, 235 is 1

2. Where do I get the detailed procedure to find GCD of 169, 286, 803, 235?

You can find a detailed procedure to find GCD of 169, 286, 803, 235 on our page.

3. How to find GCD of 169, 286, 803, 235 on a calculator?

You can find the GCD of 169, 286, 803, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.