GCD of 350, 564, 17, 982 Calculator

Given Input numbers are 350, 564, 17, 982

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 350, 564, 17, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 564, 17, 982 is 1.

Therefore, GCD of numbers 350, 564, 17, 982 is 1

Given Input Data is 350, 564, 17, 982

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 17 is 17

Prime Factorization of 982 is 2 x 491

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(350, 564) = 98700

GCD(350, 564) = ( 350 x 564 ) / 98700

GCD(350, 564) = 197400 / 98700

GCD(350, 564) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 350, 564, 17, 982 is 1

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• GCD of 701, 559, 66, 622
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1. What is the GCD of 350, 564, 17, 982?

GCD of 350, 564, 17, 982 is 1

2. Where do I get the detailed procedure to find GCD of 350, 564, 17, 982?

You can find a detailed procedure to find GCD of 350, 564, 17, 982 on our page.

3. How to find GCD of 350, 564, 17, 982 on a calculator?

You can find the GCD of 350, 564, 17, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.