GCD of 260, 891, 680, 490 Calculator

Given Input numbers are 260, 891, 680, 490

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 260, 891, 680, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 891, 680, 490 is 1.

Therefore, GCD of numbers 260, 891, 680, 490 is 1

Given Input Data is 260, 891, 680, 490

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 490 is 2 x 5 x 7 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(260, 891) = 231660

GCD(260, 891) = ( 260 x 891 ) / 231660

GCD(260, 891) = 231660 / 231660

GCD(260, 891) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 260, 891, 680, 490 is 1

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1. What is the GCD of 260, 891, 680, 490?

GCD of 260, 891, 680, 490 is 1

2. Where do I get the detailed procedure to find GCD of 260, 891, 680, 490?

You can find a detailed procedure to find GCD of 260, 891, 680, 490 on our page.

3. How to find GCD of 260, 891, 680, 490 on a calculator?

You can find the GCD of 260, 891, 680, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.