GCD of 845, 686, 34, 560 Calculator

Given Input numbers are 845, 686, 34, 560

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

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 845, 686, 34, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 686, 34, 560 is 1.

Therefore, GCD of numbers 845, 686, 34, 560 is 1

Given Input Data is 845, 686, 34, 560

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

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 34 is 2 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(845, 686) = 579670

GCD(845, 686) = ( 845 x 686 ) / 579670

GCD(845, 686) = 579670 / 579670

GCD(845, 686) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 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 845, 686, 34, 560 is 1

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1. What is the GCD of 845, 686, 34, 560?

GCD of 845, 686, 34, 560 is 1

2. Where do I get the detailed procedure to find GCD of 845, 686, 34, 560?

You can find a detailed procedure to find GCD of 845, 686, 34, 560 on our page.

3. How to find GCD of 845, 686, 34, 560 on a calculator?

You can find the GCD of 845, 686, 34, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.