GCD of 14, 296, 169, 419 Calculator

Given Input numbers are 14, 296, 169, 419

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 169

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

1, 13, 169

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Greatest Common Divisior

We found the divisors of 14, 296, 169, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 296, 169, 419 is 1.

Therefore, GCD of numbers 14, 296, 169, 419 is 1

Given Input Data is 14, 296, 169, 419

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 169 is 13 x 13

Prime Factorization of 419 is 419

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(14, 296) = 2072

GCD(14, 296) = ( 14 x 296 ) / 2072

GCD(14, 296) = 4144 / 2072

GCD(14, 296) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 169

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

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

GCD(2, 169) = 338 / 338

GCD(2, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 419

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

LCM(1, 419) = 419

GCD(1, 419) = ( 1 x 419 ) / 419

GCD(1, 419) = 419 / 419

GCD(1, 419) = 1

GCD of 14, 296, 169, 419 is 1

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• GCD of 39, 107, 109, 117
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• GCD of 63, 705, 874, 352

1. What is the GCD of 14, 296, 169, 419?

GCD of 14, 296, 169, 419 is 1

2. Where do I get the detailed procedure to find GCD of 14, 296, 169, 419?

You can find a detailed procedure to find GCD of 14, 296, 169, 419 on our page.

3. How to find GCD of 14, 296, 169, 419 on a calculator?

You can find the GCD of 14, 296, 169, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.