GCD of 180, 408, 26, 718 Calculator

Given Input numbers are 180, 408, 26, 718

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

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 180, 408, 26, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 408, 26, 718 is 2.

Therefore, GCD of numbers 180, 408, 26, 718 is 2

Given Input Data is 180, 408, 26, 718

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 26 is 2 x 13

Prime Factorization of 718 is 2 x 359

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(180, 408) = 6120

GCD(180, 408) = ( 180 x 408 ) / 6120

GCD(180, 408) = 73440 / 6120

GCD(180, 408) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 26

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

LCM(12, 26) = 156

GCD(12, 26) = ( 12 x 26 ) / 156

GCD(12, 26) = 312 / 156

GCD(12, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 718

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

LCM(2, 718) = 718

GCD(2, 718) = ( 2 x 718 ) / 718

GCD(2, 718) = 1436 / 718

GCD(2, 718) = 2

GCD of 180, 408, 26, 718 is 2

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1. What is the GCD of 180, 408, 26, 718?

GCD of 180, 408, 26, 718 is 2

2. Where do I get the detailed procedure to find GCD of 180, 408, 26, 718?

You can find a detailed procedure to find GCD of 180, 408, 26, 718 on our page.

3. How to find GCD of 180, 408, 26, 718 on a calculator?

You can find the GCD of 180, 408, 26, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.