GCD of 727, 300, 67, 798 Calculator

Given Input numbers are 727, 300, 67, 798

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

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 727, 300, 67, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 300, 67, 798 is 1.

Therefore, GCD of numbers 727, 300, 67, 798 is 1

Given Input Data is 727, 300, 67, 798

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

Prime Factorization of 727 is 727

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 67 is 67

Prime Factorization of 798 is 2 x 3 x 7 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(727, 300) = 218100

GCD(727, 300) = ( 727 x 300 ) / 218100

GCD(727, 300) = 218100 / 218100

GCD(727, 300) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

GCD of 727, 300, 67, 798 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 146, 14, 837
• GCD of 401, 925, 19, 733
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• GCD of 844, 771, 28, 955
• GCD of 628, 571, 47, 894

1. What is the GCD of 727, 300, 67, 798?

GCD of 727, 300, 67, 798 is 1

2. Where do I get the detailed procedure to find GCD of 727, 300, 67, 798?

You can find a detailed procedure to find GCD of 727, 300, 67, 798 on our page.

3. How to find GCD of 727, 300, 67, 798 on a calculator?

You can find the GCD of 727, 300, 67, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.