GCD of 219, 704, 14, 145 Calculator

Given Input numbers are 219, 704, 14, 145

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

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 14

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

1, 2, 7, 14

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 219, 704, 14, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 704, 14, 145 is 1.

Therefore, GCD of numbers 219, 704, 14, 145 is 1

Given Input Data is 219, 704, 14, 145

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 14 is 2 x 7

Prime Factorization of 145 is 5 x 29

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(219, 704) = 154176

GCD(219, 704) = ( 219 x 704 ) / 154176

GCD(219, 704) = 154176 / 154176

GCD(219, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 219, 704, 14, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 836, 82, 533
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• GCD of 310, 239, 37, 329
• GCD of 845, 858, 13, 358

1. What is the GCD of 219, 704, 14, 145?

GCD of 219, 704, 14, 145 is 1

2. Where do I get the detailed procedure to find GCD of 219, 704, 14, 145?

You can find a detailed procedure to find GCD of 219, 704, 14, 145 on our page.

3. How to find GCD of 219, 704, 14, 145 on a calculator?

You can find the GCD of 219, 704, 14, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.