GCD of 560, 614, 26, 834 Calculator

Given Input numbers are 560, 614, 26, 834

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 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 560, 614, 26, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 614, 26, 834 is 2.

Therefore, GCD of numbers 560, 614, 26, 834 is 2

Given Input Data is 560, 614, 26, 834

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 614 is 2 x 307

Prime Factorization of 26 is 2 x 13

Prime Factorization of 834 is 2 x 3 x 139

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 614) = 171920

GCD(560, 614) = ( 560 x 614 ) / 171920

GCD(560, 614) = 343840 / 171920

GCD(560, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 834

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

LCM(2, 834) = 834

GCD(2, 834) = ( 2 x 834 ) / 834

GCD(2, 834) = 1668 / 834

GCD(2, 834) = 2

GCD of 560, 614, 26, 834 is 2

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• GCD of 705, 863, 27, 277
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1. What is the GCD of 560, 614, 26, 834?

GCD of 560, 614, 26, 834 is 2

2. Where do I get the detailed procedure to find GCD of 560, 614, 26, 834?

You can find a detailed procedure to find GCD of 560, 614, 26, 834 on our page.

3. How to find GCD of 560, 614, 26, 834 on a calculator?

You can find the GCD of 560, 614, 26, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.