GCD of 260, 689, 21, 882 Calculator

Given Input numbers are 260, 689, 21, 882

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 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Greatest Common Divisior

We found the divisors of 260, 689, 21, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 689, 21, 882 is 1.

Therefore, GCD of numbers 260, 689, 21, 882 is 1

Given Input Data is 260, 689, 21, 882

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 689 is 13 x 53

Prime Factorization of 21 is 3 x 7

Prime Factorization of 882 is 2 x 3 x 3 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, 689) = 13780

GCD(260, 689) = ( 260 x 689 ) / 13780

GCD(260, 689) = 179140 / 13780

GCD(260, 689) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 21

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

LCM(13, 21) = 273

GCD(13, 21) = ( 13 x 21 ) / 273

GCD(13, 21) = 273 / 273

GCD(13, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 882

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

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

GCD(1, 882) = 882 / 882

GCD(1, 882) = 1

GCD of 260, 689, 21, 882 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 926, 305, 23, 840
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• GCD of 522, 832, 48, 822
• GCD of 215, 371, 46, 653
• GCD of 330, 126, 76, 998

1. What is the GCD of 260, 689, 21, 882?

GCD of 260, 689, 21, 882 is 1

2. Where do I get the detailed procedure to find GCD of 260, 689, 21, 882?

You can find a detailed procedure to find GCD of 260, 689, 21, 882 on our page.

3. How to find GCD of 260, 689, 21, 882 on a calculator?

You can find the GCD of 260, 689, 21, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.