GCD of 559, 685, 56, 919 Calculator

Given Input numbers are 559, 685, 56, 919

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 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 559, 685, 56, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 685, 56, 919 is 1.

Therefore, GCD of numbers 559, 685, 56, 919 is 1

Given Input Data is 559, 685, 56, 919

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 685 is 5 x 137

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 919 is 919

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, 685) = 382915

GCD(559, 685) = ( 559 x 685 ) / 382915

GCD(559, 685) = 382915 / 382915

GCD(559, 685) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

GCD of 559, 685, 56, 919 is 1

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1. What is the GCD of 559, 685, 56, 919?

GCD of 559, 685, 56, 919 is 1

2. Where do I get the detailed procedure to find GCD of 559, 685, 56, 919?

You can find a detailed procedure to find GCD of 559, 685, 56, 919 on our page.

3. How to find GCD of 559, 685, 56, 919 on a calculator?

You can find the GCD of 559, 685, 56, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.