GCD of 89, 779, 821, 260 Calculator

Given Input numbers are 89, 779, 821, 260

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

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

Greatest Common Divisior

We found the divisors of 89, 779, 821, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 779, 821, 260 is 1.

Therefore, GCD of numbers 89, 779, 821, 260 is 1

Given Input Data is 89, 779, 821, 260

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

Prime Factorization of 89 is 89

Prime Factorization of 779 is 19 x 41

Prime Factorization of 821 is 821

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

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(89, 779) = 69331

GCD(89, 779) = ( 89 x 779 ) / 69331

GCD(89, 779) = 69331 / 69331

GCD(89, 779) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 89, 779, 821, 260 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 624, 848, 874
• GCD of 70, 822, 348, 300
• GCD of 44, 269, 986, 591
• GCD of 99, 363, 375, 133
• GCD of 65, 165, 237, 682

1. What is the GCD of 89, 779, 821, 260?

GCD of 89, 779, 821, 260 is 1

2. Where do I get the detailed procedure to find GCD of 89, 779, 821, 260?

You can find a detailed procedure to find GCD of 89, 779, 821, 260 on our page.

3. How to find GCD of 89, 779, 821, 260 on a calculator?

You can find the GCD of 89, 779, 821, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.