GCD of 349, 310, 842, 895 Calculator

Given Input numbers are 349, 310, 842, 895

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 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Greatest Common Divisior

We found the divisors of 349, 310, 842, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 310, 842, 895 is 1.

Therefore, GCD of numbers 349, 310, 842, 895 is 1

Given Input Data is 349, 310, 842, 895

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

Prime Factorization of 349 is 349

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 842 is 2 x 421

Prime Factorization of 895 is 5 x 179

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, 310) = 108190

GCD(349, 310) = ( 349 x 310 ) / 108190

GCD(349, 310) = 108190 / 108190

GCD(349, 310) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 895

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

LCM(1, 895) = 895

GCD(1, 895) = ( 1 x 895 ) / 895

GCD(1, 895) = 895 / 895

GCD(1, 895) = 1

GCD of 349, 310, 842, 895 is 1

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1. What is the GCD of 349, 310, 842, 895?

GCD of 349, 310, 842, 895 is 1

2. Where do I get the detailed procedure to find GCD of 349, 310, 842, 895?

You can find a detailed procedure to find GCD of 349, 310, 842, 895 on our page.

3. How to find GCD of 349, 310, 842, 895 on a calculator?

You can find the GCD of 349, 310, 842, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.