GCD of 403, 381, 314, 202 Calculator

Given Input numbers are 403, 381, 314, 202

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

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 403, 381, 314, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 403, 381, 314, 202 is 1.

Therefore, GCD of numbers 403, 381, 314, 202 is 1

Given Input Data is 403, 381, 314, 202

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

Prime Factorization of 403 is 13 x 31

Prime Factorization of 381 is 3 x 127

Prime Factorization of 314 is 2 x 157

Prime Factorization of 202 is 2 x 101

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(403, 381) = 153543

GCD(403, 381) = ( 403 x 381 ) / 153543

GCD(403, 381) = 153543 / 153543

GCD(403, 381) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 202

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

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

GCD(1, 202) = 202 / 202

GCD(1, 202) = 1

GCD of 403, 381, 314, 202 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 690, 899, 804
• GCD of 433, 918, 187, 992
• GCD of 781, 964, 114, 543
• GCD of 360, 173, 574, 118
• GCD of 712, 353, 589, 443

1. What is the GCD of 403, 381, 314, 202?

GCD of 403, 381, 314, 202 is 1

2. Where do I get the detailed procedure to find GCD of 403, 381, 314, 202?

You can find a detailed procedure to find GCD of 403, 381, 314, 202 on our page.

3. How to find GCD of 403, 381, 314, 202 on a calculator?

You can find the GCD of 403, 381, 314, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.