GCD of 460, 878, 349 Calculator

Given Input numbers are 460, 878, 349

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 349

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

1, 349

Greatest Common Divisior

We found the divisors of 460, 878, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 878, 349 is 1.

Therefore, GCD of numbers 460, 878, 349 is 1

Given Input Data is 460, 878, 349

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 878 is 2 x 439

Prime Factorization of 349 is 349

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(460, 878) = 201940

GCD(460, 878) = ( 460 x 878 ) / 201940

GCD(460, 878) = 403880 / 201940

GCD(460, 878) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 349

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

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

GCD(2, 349) = 698 / 698

GCD(2, 349) = 1

GCD of 460, 878, 349 is 1

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1. What is the GCD of 460, 878, 349?

GCD of 460, 878, 349 is 1

2. Where do I get the detailed procedure to find GCD of 460, 878, 349?

You can find a detailed procedure to find GCD of 460, 878, 349 on our page.

3. How to find GCD of 460, 878, 349 on a calculator?

You can find the GCD of 460, 878, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.