GCD of 270, 644, 80, 465 Calculator

Given Input numbers are 270, 644, 80, 465

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

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 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 270, 644, 80, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 644, 80, 465 is 1.

Therefore, GCD of numbers 270, 644, 80, 465 is 1

Given Input Data is 270, 644, 80, 465

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

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

Prime Factorization of 644 is 2 x 2 x 7 x 23

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

Prime Factorization of 465 is 3 x 5 x 31

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(270, 644) = 86940

GCD(270, 644) = ( 270 x 644 ) / 86940

GCD(270, 644) = 173880 / 86940

GCD(270, 644) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 465

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

LCM(2, 465) = 930

GCD(2, 465) = ( 2 x 465 ) / 930

GCD(2, 465) = 930 / 930

GCD(2, 465) = 1

GCD of 270, 644, 80, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 649, 64, 186
• GCD of 305, 360, 98, 665
• GCD of 845, 100, 78, 578
• GCD of 700, 224, 26, 735
• GCD of 577, 537, 79, 824

1. What is the GCD of 270, 644, 80, 465?

GCD of 270, 644, 80, 465 is 1

2. Where do I get the detailed procedure to find GCD of 270, 644, 80, 465?

You can find a detailed procedure to find GCD of 270, 644, 80, 465 on our page.

3. How to find GCD of 270, 644, 80, 465 on a calculator?

You can find the GCD of 270, 644, 80, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.