GCD of 839, 783, 221, 560 Calculator

Given Input numbers are 839, 783, 221, 560

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

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

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

Greatest Common Divisior

We found the divisors of 839, 783, 221, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 839, 783, 221, 560 is 1.

Therefore, GCD of numbers 839, 783, 221, 560 is 1

Given Input Data is 839, 783, 221, 560

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

Prime Factorization of 839 is 839

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 221 is 13 x 17

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

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(839, 783) = 656937

GCD(839, 783) = ( 839 x 783 ) / 656937

GCD(839, 783) = 656937 / 656937

GCD(839, 783) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 839, 783, 221, 560 is 1

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1. What is the GCD of 839, 783, 221, 560?

GCD of 839, 783, 221, 560 is 1

2. Where do I get the detailed procedure to find GCD of 839, 783, 221, 560?

You can find a detailed procedure to find GCD of 839, 783, 221, 560 on our page.

3. How to find GCD of 839, 783, 221, 560 on a calculator?

You can find the GCD of 839, 783, 221, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.