GCD of 398, 902, 66, 727 Calculator

Given Input numbers are 398, 902, 66, 727

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 727

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

1, 727

Greatest Common Divisior

We found the divisors of 398, 902, 66, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 902, 66, 727 is 1.

Therefore, GCD of numbers 398, 902, 66, 727 is 1

Given Input Data is 398, 902, 66, 727

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 727 is 727

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(398, 902) = 179498

GCD(398, 902) = ( 398 x 902 ) / 179498

GCD(398, 902) = 358996 / 179498

GCD(398, 902) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 727

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

LCM(2, 727) = 1454

GCD(2, 727) = ( 2 x 727 ) / 1454

GCD(2, 727) = 1454 / 1454

GCD(2, 727) = 1

GCD of 398, 902, 66, 727 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 238, 85, 464
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• GCD of 300, 703, 12, 250
• GCD of 178, 335, 17, 907
• GCD of 318, 500, 21, 138

1. What is the GCD of 398, 902, 66, 727?

GCD of 398, 902, 66, 727 is 1

2. Where do I get the detailed procedure to find GCD of 398, 902, 66, 727?

You can find a detailed procedure to find GCD of 398, 902, 66, 727 on our page.

3. How to find GCD of 398, 902, 66, 727 on a calculator?

You can find the GCD of 398, 902, 66, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.