GCD of 348, 403, 311, 827 Calculator

Given Input numbers are 348, 403, 311, 827

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 403

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

1, 13, 31, 403

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 348, 403, 311, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 403, 311, 827 is 1.

Therefore, GCD of numbers 348, 403, 311, 827 is 1

Given Input Data is 348, 403, 311, 827

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 403 is 13 x 31

Prime Factorization of 311 is 311

Prime Factorization of 827 is 827

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(348, 403) = 140244

GCD(348, 403) = ( 348 x 403 ) / 140244

GCD(348, 403) = 140244 / 140244

GCD(348, 403) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 348, 403, 311, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 956, 434, 627, 144
• GCD of 485, 550, 290, 697
• GCD of 648, 834, 921, 643
• GCD of 468, 857, 160, 595
• GCD of 763, 872, 819, 227

1. What is the GCD of 348, 403, 311, 827?

GCD of 348, 403, 311, 827 is 1

2. Where do I get the detailed procedure to find GCD of 348, 403, 311, 827?

You can find a detailed procedure to find GCD of 348, 403, 311, 827 on our page.

3. How to find GCD of 348, 403, 311, 827 on a calculator?

You can find the GCD of 348, 403, 311, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.