GCD of 463, 614, 69, 269 Calculator

Given Input numbers are 463, 614, 69, 269

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

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 463, 614, 69, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 614, 69, 269 is 1.

Therefore, GCD of numbers 463, 614, 69, 269 is 1

Given Input Data is 463, 614, 69, 269

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

Prime Factorization of 463 is 463

Prime Factorization of 614 is 2 x 307

Prime Factorization of 69 is 3 x 23

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(463, 614) = 284282

GCD(463, 614) = ( 463 x 614 ) / 284282

GCD(463, 614) = 284282 / 284282

GCD(463, 614) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 463, 614, 69, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 405, 16, 320
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• GCD of 442, 257, 34, 317
• GCD of 770, 721, 37, 811
• GCD of 576, 628, 76, 225

1. What is the GCD of 463, 614, 69, 269?

GCD of 463, 614, 69, 269 is 1

2. Where do I get the detailed procedure to find GCD of 463, 614, 69, 269?

You can find a detailed procedure to find GCD of 463, 614, 69, 269 on our page.

3. How to find GCD of 463, 614, 69, 269 on a calculator?

You can find the GCD of 463, 614, 69, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.