GCD of 180, 248, 681, 738 Calculator

Given Input numbers are 180, 248, 681, 738

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 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 180, 248, 681, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 248, 681, 738 is 1.

Therefore, GCD of numbers 180, 248, 681, 738 is 1

Given Input Data is 180, 248, 681, 738

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 248 is 2 x 2 x 2 x 31

Prime Factorization of 681 is 3 x 227

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(180, 248) = 11160

GCD(180, 248) = ( 180 x 248 ) / 11160

GCD(180, 248) = 44640 / 11160

GCD(180, 248) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 681

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

LCM(4, 681) = 2724

GCD(4, 681) = ( 4 x 681 ) / 2724

GCD(4, 681) = 2724 / 2724

GCD(4, 681) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 180, 248, 681, 738 is 1

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1. What is the GCD of 180, 248, 681, 738?

GCD of 180, 248, 681, 738 is 1

2. Where do I get the detailed procedure to find GCD of 180, 248, 681, 738?

You can find a detailed procedure to find GCD of 180, 248, 681, 738 on our page.

3. How to find GCD of 180, 248, 681, 738 on a calculator?

You can find the GCD of 180, 248, 681, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.