GCD of 559, 706, 742, 187 Calculator

Given Input numbers are 559, 706, 742, 187

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

Divisors of 559

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

1, 13, 43, 559

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 559, 706, 742, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 706, 742, 187 is 1.

Therefore, GCD of numbers 559, 706, 742, 187 is 1

Given Input Data is 559, 706, 742, 187

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 706 is 2 x 353

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 187 is 11 x 17

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(559, 706) = 394654

GCD(559, 706) = ( 559 x 706 ) / 394654

GCD(559, 706) = 394654 / 394654

GCD(559, 706) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 187

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

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

GCD(1, 187) = 187 / 187

GCD(1, 187) = 1

GCD of 559, 706, 742, 187 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 932, 736, 965
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• GCD of 389, 980, 298, 364

1. What is the GCD of 559, 706, 742, 187?

GCD of 559, 706, 742, 187 is 1

2. Where do I get the detailed procedure to find GCD of 559, 706, 742, 187?

You can find a detailed procedure to find GCD of 559, 706, 742, 187 on our page.

3. How to find GCD of 559, 706, 742, 187 on a calculator?

You can find the GCD of 559, 706, 742, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.