GCD of 349, 348, 677 Calculator

Given Input numbers are 349, 348, 677

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

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 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 349, 348, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 348, 677 is 1.

Therefore, GCD of numbers 349, 348, 677 is 1

Given Input Data is 349, 348, 677

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

Prime Factorization of 349 is 349

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

Prime Factorization of 677 is 677

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(349, 348) = 121452

GCD(349, 348) = ( 349 x 348 ) / 121452

GCD(349, 348) = 121452 / 121452

GCD(349, 348) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 349, 348, 677 is 1

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1. What is the GCD of 349, 348, 677?

GCD of 349, 348, 677 is 1

2. Where do I get the detailed procedure to find GCD of 349, 348, 677?

You can find a detailed procedure to find GCD of 349, 348, 677 on our page.

3. How to find GCD of 349, 348, 677 on a calculator?

You can find the GCD of 349, 348, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.