GCD of 574, 194, 20, 117 Calculator

Given Input numbers are 574, 194, 20, 117

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 574, 194, 20, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 194, 20, 117 is 1.

Therefore, GCD of numbers 574, 194, 20, 117 is 1

Given Input Data is 574, 194, 20, 117

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 194 is 2 x 97

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 117 is 3 x 3 x 13

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(574, 194) = 55678

GCD(574, 194) = ( 574 x 194 ) / 55678

GCD(574, 194) = 111356 / 55678

GCD(574, 194) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 117

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

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

GCD(2, 117) = 234 / 234

GCD(2, 117) = 1

GCD of 574, 194, 20, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 532, 23, 258
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• GCD of 798, 665, 80, 294
• GCD of 666, 838, 62, 486
• GCD of 524, 654, 15, 937

1. What is the GCD of 574, 194, 20, 117?

GCD of 574, 194, 20, 117 is 1

2. Where do I get the detailed procedure to find GCD of 574, 194, 20, 117?

You can find a detailed procedure to find GCD of 574, 194, 20, 117 on our page.

3. How to find GCD of 574, 194, 20, 117 on a calculator?

You can find the GCD of 574, 194, 20, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.