GCD of 270, 991, 217, 265 Calculator

Given Input numbers are 270, 991, 217, 265

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 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 270, 991, 217, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 991, 217, 265 is 1.

Therefore, GCD of numbers 270, 991, 217, 265 is 1

Given Input Data is 270, 991, 217, 265

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 991 is 991

Prime Factorization of 217 is 7 x 31

Prime Factorization of 265 is 5 x 53

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, 991) = 267570

GCD(270, 991) = ( 270 x 991 ) / 267570

GCD(270, 991) = 267570 / 267570

GCD(270, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 265

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

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

GCD(1, 265) = 265 / 265

GCD(1, 265) = 1

GCD of 270, 991, 217, 265 is 1

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1. What is the GCD of 270, 991, 217, 265?

GCD of 270, 991, 217, 265 is 1

2. Where do I get the detailed procedure to find GCD of 270, 991, 217, 265?

You can find a detailed procedure to find GCD of 270, 991, 217, 265 on our page.

3. How to find GCD of 270, 991, 217, 265 on a calculator?

You can find the GCD of 270, 991, 217, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.