GCD of 348, 303, 897 Calculator

Given Input numbers are 348, 303, 897

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 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 348, 303, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 303, 897 is 3.

Therefore, GCD of numbers 348, 303, 897 is 3

Given Input Data is 348, 303, 897

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 303 is 3 x 101

Prime Factorization of 897 is 3 x 13 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 303) = 35148

GCD(348, 303) = ( 348 x 303 ) / 35148

GCD(348, 303) = 105444 / 35148

GCD(348, 303) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 897

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

LCM(3, 897) = 897

GCD(3, 897) = ( 3 x 897 ) / 897

GCD(3, 897) = 2691 / 897

GCD(3, 897) = 3

GCD of 348, 303, 897 is 3

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1. What is the GCD of 348, 303, 897?

GCD of 348, 303, 897 is 3

2. Where do I get the detailed procedure to find GCD of 348, 303, 897?

You can find a detailed procedure to find GCD of 348, 303, 897 on our page.

3. How to find GCD of 348, 303, 897 on a calculator?

You can find the GCD of 348, 303, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.