GCD of 26, 694, 560, 497 Calculator

Given Input numbers are 26, 694, 560, 497

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

Divisors of 26

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

1, 2, 13, 26

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

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 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 26, 694, 560, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 694, 560, 497 is 1.

Therefore, GCD of numbers 26, 694, 560, 497 is 1

Given Input Data is 26, 694, 560, 497

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 694 is 2 x 347

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

Prime Factorization of 497 is 7 x 71

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(26, 694) = 9022

GCD(26, 694) = ( 26 x 694 ) / 9022

GCD(26, 694) = 18044 / 9022

GCD(26, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 560

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

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

GCD(2, 560) = 1120 / 560

GCD(2, 560) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 497

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

LCM(2, 497) = 994

GCD(2, 497) = ( 2 x 497 ) / 994

GCD(2, 497) = 994 / 994

GCD(2, 497) = 1

GCD of 26, 694, 560, 497 is 1

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1. What is the GCD of 26, 694, 560, 497?

GCD of 26, 694, 560, 497 is 1

2. Where do I get the detailed procedure to find GCD of 26, 694, 560, 497?

You can find a detailed procedure to find GCD of 26, 694, 560, 497 on our page.

3. How to find GCD of 26, 694, 560, 497 on a calculator?

You can find the GCD of 26, 694, 560, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.