GCD of 70, 309, 559, 279 Calculator

Given Input numbers are 70, 309, 559, 279

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 559

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

1, 13, 43, 559

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 70, 309, 559, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 309, 559, 279 is 1.

Therefore, GCD of numbers 70, 309, 559, 279 is 1

Given Input Data is 70, 309, 559, 279

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 309 is 3 x 103

Prime Factorization of 559 is 13 x 43

Prime Factorization of 279 is 3 x 3 x 31

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(70, 309) = 21630

GCD(70, 309) = ( 70 x 309 ) / 21630

GCD(70, 309) = 21630 / 21630

GCD(70, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 70, 309, 559, 279 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 233, 888, 337
• GCD of 73, 808, 259, 241
• GCD of 42, 422, 467, 266
• GCD of 24, 399, 229, 856
• GCD of 80, 755, 922, 653

1. What is the GCD of 70, 309, 559, 279?

GCD of 70, 309, 559, 279 is 1

2. Where do I get the detailed procedure to find GCD of 70, 309, 559, 279?

You can find a detailed procedure to find GCD of 70, 309, 559, 279 on our page.

3. How to find GCD of 70, 309, 559, 279 on a calculator?

You can find the GCD of 70, 309, 559, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.