GCD of 80, 270, 235, 219 Calculator

Given Input numbers are 80, 270, 235, 219

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 219

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

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 80, 270, 235, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 270, 235, 219 is 1.

Therefore, GCD of numbers 80, 270, 235, 219 is 1

Given Input Data is 80, 270, 235, 219

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 235 is 5 x 47

Prime Factorization of 219 is 3 x 73

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(80, 270) = 2160

GCD(80, 270) = ( 80 x 270 ) / 2160

GCD(80, 270) = 21600 / 2160

GCD(80, 270) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 235

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

LCM(10, 235) = 470

GCD(10, 235) = ( 10 x 235 ) / 470

GCD(10, 235) = 2350 / 470

GCD(10, 235) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 219

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

LCM(5, 219) = 1095

GCD(5, 219) = ( 5 x 219 ) / 1095

GCD(5, 219) = 1095 / 1095

GCD(5, 219) = 1

GCD of 80, 270, 235, 219 is 1

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• GCD of 19, 966, 404, 423
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• GCD of 33, 774, 511, 892

1. What is the GCD of 80, 270, 235, 219?

GCD of 80, 270, 235, 219 is 1

2. Where do I get the detailed procedure to find GCD of 80, 270, 235, 219?

You can find a detailed procedure to find GCD of 80, 270, 235, 219 on our page.

3. How to find GCD of 80, 270, 235, 219 on a calculator?

You can find the GCD of 80, 270, 235, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.