GCD of 349, 891, 34, 550 Calculator

Given Input numbers are 349, 891, 34, 550

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 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Greatest Common Divisior

We found the divisors of 349, 891, 34, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 891, 34, 550 is 1.

Therefore, GCD of numbers 349, 891, 34, 550 is 1

Given Input Data is 349, 891, 34, 550

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

Prime Factorization of 349 is 349

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 34 is 2 x 17

Prime Factorization of 550 is 2 x 5 x 5 x 11

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, 891) = 310959

GCD(349, 891) = ( 349 x 891 ) / 310959

GCD(349, 891) = 310959 / 310959

GCD(349, 891) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 550

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

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

GCD(1, 550) = 550 / 550

GCD(1, 550) = 1

GCD of 349, 891, 34, 550 is 1

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• GCD of 496, 829, 98, 105
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1. What is the GCD of 349, 891, 34, 550?

GCD of 349, 891, 34, 550 is 1

2. Where do I get the detailed procedure to find GCD of 349, 891, 34, 550?

You can find a detailed procedure to find GCD of 349, 891, 34, 550 on our page.

3. How to find GCD of 349, 891, 34, 550 on a calculator?

You can find the GCD of 349, 891, 34, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.