GCD of 560, 209, 87, 309 Calculator

Given Input numbers are 560, 209, 87, 309

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 309

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

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 560, 209, 87, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 209, 87, 309 is 1.

Therefore, GCD of numbers 560, 209, 87, 309 is 1

Given Input Data is 560, 209, 87, 309

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 209 is 11 x 19

Prime Factorization of 87 is 3 x 29

Prime Factorization of 309 is 3 x 103

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(560, 209) = 117040

GCD(560, 209) = ( 560 x 209 ) / 117040

GCD(560, 209) = 117040 / 117040

GCD(560, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 560, 209, 87, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 435, 734, 32, 323
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• GCD of 556, 618, 96, 623

1. What is the GCD of 560, 209, 87, 309?

GCD of 560, 209, 87, 309 is 1

2. Where do I get the detailed procedure to find GCD of 560, 209, 87, 309?

You can find a detailed procedure to find GCD of 560, 209, 87, 309 on our page.

3. How to find GCD of 560, 209, 87, 309 on a calculator?

You can find the GCD of 560, 209, 87, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.