GCD of 468, 474, 269 Calculator

Given Input numbers are 468, 474, 269

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 269

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

1, 269

Greatest Common Divisior

We found the divisors of 468, 474, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 474, 269 is 1.

Therefore, GCD of numbers 468, 474, 269 is 1

Given Input Data is 468, 474, 269

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 269 is 269

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(468, 474) = 36972

GCD(468, 474) = ( 468 x 474 ) / 36972

GCD(468, 474) = 221832 / 36972

GCD(468, 474) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 269

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

LCM(6, 269) = 1614

GCD(6, 269) = ( 6 x 269 ) / 1614

GCD(6, 269) = 1614 / 1614

GCD(6, 269) = 1

GCD of 468, 474, 269 is 1

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1. What is the GCD of 468, 474, 269?

GCD of 468, 474, 269 is 1

2. Where do I get the detailed procedure to find GCD of 468, 474, 269?

You can find a detailed procedure to find GCD of 468, 474, 269 on our page.

3. How to find GCD of 468, 474, 269 on a calculator?

You can find the GCD of 468, 474, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.