GCD of 270, 148, 17, 718 Calculator

Given Input numbers are 270, 148, 17, 718

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 270, 148, 17, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 148, 17, 718 is 1.

Therefore, GCD of numbers 270, 148, 17, 718 is 1

Given Input Data is 270, 148, 17, 718

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 148 is 2 x 2 x 37

Prime Factorization of 17 is 17

Prime Factorization of 718 is 2 x 359

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, 148) = 19980

GCD(270, 148) = ( 270 x 148 ) / 19980

GCD(270, 148) = 39960 / 19980

GCD(270, 148) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 718

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

LCM(1, 718) = 718

GCD(1, 718) = ( 1 x 718 ) / 718

GCD(1, 718) = 718 / 718

GCD(1, 718) = 1

GCD of 270, 148, 17, 718 is 1

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• GCD of 684, 150, 45, 140
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1. What is the GCD of 270, 148, 17, 718?

GCD of 270, 148, 17, 718 is 1

2. Where do I get the detailed procedure to find GCD of 270, 148, 17, 718?

You can find a detailed procedure to find GCD of 270, 148, 17, 718 on our page.

3. How to find GCD of 270, 148, 17, 718 on a calculator?

You can find the GCD of 270, 148, 17, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.