GCD of 165, 270, 217, 418 Calculator

Given Input numbers are 165, 270, 217, 418

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

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 217

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

1, 7, 31, 217

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 165, 270, 217, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 270, 217, 418 is 1.

Therefore, GCD of numbers 165, 270, 217, 418 is 1

Given Input Data is 165, 270, 217, 418

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

Prime Factorization of 165 is 3 x 5 x 11

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 418 is 2 x 11 x 19

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(165, 270) = 2970

GCD(165, 270) = ( 165 x 270 ) / 2970

GCD(165, 270) = 44550 / 2970

GCD(165, 270) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 217

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

LCM(15, 217) = 3255

GCD(15, 217) = ( 15 x 217 ) / 3255

GCD(15, 217) = 3255 / 3255

GCD(15, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

GCD of 165, 270, 217, 418 is 1

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• GCD of 902, 632, 375, 924
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1. What is the GCD of 165, 270, 217, 418?

GCD of 165, 270, 217, 418 is 1

2. Where do I get the detailed procedure to find GCD of 165, 270, 217, 418?

You can find a detailed procedure to find GCD of 165, 270, 217, 418 on our page.

3. How to find GCD of 165, 270, 217, 418 on a calculator?

You can find the GCD of 165, 270, 217, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.