GCD of 269, 470, 44, 308 Calculator

Given Input numbers are 269, 470, 44, 308

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

Divisors of 269

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

1, 269

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 269, 470, 44, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 470, 44, 308 is 1.

Therefore, GCD of numbers 269, 470, 44, 308 is 1

Given Input Data is 269, 470, 44, 308

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

Prime Factorization of 269 is 269

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(269, 470) = 126430

GCD(269, 470) = ( 269 x 470 ) / 126430

GCD(269, 470) = 126430 / 126430

GCD(269, 470) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 269, 470, 44, 308 is 1

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1. What is the GCD of 269, 470, 44, 308?

GCD of 269, 470, 44, 308 is 1

2. Where do I get the detailed procedure to find GCD of 269, 470, 44, 308?

You can find a detailed procedure to find GCD of 269, 470, 44, 308 on our page.

3. How to find GCD of 269, 470, 44, 308 on a calculator?

You can find the GCD of 269, 470, 44, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.