GCD of 559, 352, 674, 659 Calculator

Given Input numbers are 559, 352, 674, 659

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 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 559, 352, 674, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 352, 674, 659 is 1.

Therefore, GCD of numbers 559, 352, 674, 659 is 1

Given Input Data is 559, 352, 674, 659

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 674 is 2 x 337

Prime Factorization of 659 is 659

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, 352) = 196768

GCD(559, 352) = ( 559 x 352 ) / 196768

GCD(559, 352) = 196768 / 196768

GCD(559, 352) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 559, 352, 674, 659 is 1

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1. What is the GCD of 559, 352, 674, 659?

GCD of 559, 352, 674, 659 is 1

2. Where do I get the detailed procedure to find GCD of 559, 352, 674, 659?

You can find a detailed procedure to find GCD of 559, 352, 674, 659 on our page.

3. How to find GCD of 559, 352, 674, 659 on a calculator?

You can find the GCD of 559, 352, 674, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.