GCD of 559, 683, 49, 102 Calculator

Given Input numbers are 559, 683, 49, 102

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 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 559, 683, 49, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 683, 49, 102 is 1.

Therefore, GCD of numbers 559, 683, 49, 102 is 1

Given Input Data is 559, 683, 49, 102

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 683 is 683

Prime Factorization of 49 is 7 x 7

Prime Factorization of 102 is 2 x 3 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, 683) = 381797

GCD(559, 683) = ( 559 x 683 ) / 381797

GCD(559, 683) = 381797 / 381797

GCD(559, 683) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

GCD of 559, 683, 49, 102 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 201, 82, 389
• GCD of 115, 821, 53, 986
• GCD of 838, 686, 49, 412
• GCD of 260, 266, 32, 927
• GCD of 130, 196, 12, 209

1. What is the GCD of 559, 683, 49, 102?

GCD of 559, 683, 49, 102 is 1

2. Where do I get the detailed procedure to find GCD of 559, 683, 49, 102?

You can find a detailed procedure to find GCD of 559, 683, 49, 102 on our page.

3. How to find GCD of 559, 683, 49, 102 on a calculator?

You can find the GCD of 559, 683, 49, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.