GCD of 34, 298, 559, 634 Calculator

Given Input numbers are 34, 298, 559, 634

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

Divisors of 34

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

1, 2, 17, 34

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 34, 298, 559, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 298, 559, 634 is 1.

Therefore, GCD of numbers 34, 298, 559, 634 is 1

Given Input Data is 34, 298, 559, 634

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 298 is 2 x 149

Prime Factorization of 559 is 13 x 43

Prime Factorization of 634 is 2 x 317

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(34, 298) = 5066

GCD(34, 298) = ( 34 x 298 ) / 5066

GCD(34, 298) = 10132 / 5066

GCD(34, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 559

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

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

GCD(2, 559) = 1118 / 1118

GCD(2, 559) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 634

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

LCM(1, 634) = 634

GCD(1, 634) = ( 1 x 634 ) / 634

GCD(1, 634) = 634 / 634

GCD(1, 634) = 1

GCD of 34, 298, 559, 634 is 1

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• GCD of 74, 527, 868, 918
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1. What is the GCD of 34, 298, 559, 634?

GCD of 34, 298, 559, 634 is 1

2. Where do I get the detailed procedure to find GCD of 34, 298, 559, 634?

You can find a detailed procedure to find GCD of 34, 298, 559, 634 on our page.

3. How to find GCD of 34, 298, 559, 634 on a calculator?

You can find the GCD of 34, 298, 559, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.