GCD of 260, 217, 69, 443 Calculator

Given Input numbers are 260, 217, 69, 443

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Greatest Common Divisior

We found the divisors of 260, 217, 69, 443 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 217, 69, 443 is 1.

Therefore, GCD of numbers 260, 217, 69, 443 is 1

Given Input Data is 260, 217, 69, 443

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 217 is 7 x 31

Prime Factorization of 69 is 3 x 23

Prime Factorization of 443 is 443

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, 217) = 56420

GCD(260, 217) = ( 260 x 217 ) / 56420

GCD(260, 217) = 56420 / 56420

GCD(260, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 443

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

LCM(1, 443) = 443

GCD(1, 443) = ( 1 x 443 ) / 443

GCD(1, 443) = 443 / 443

GCD(1, 443) = 1

GCD of 260, 217, 69, 443 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 922, 72, 320
• GCD of 852, 770, 72, 744
• GCD of 774, 269, 15, 368
• GCD of 741, 863, 90, 124
• GCD of 228, 555, 30, 112

1. What is the GCD of 260, 217, 69, 443?

GCD of 260, 217, 69, 443 is 1

2. Where do I get the detailed procedure to find GCD of 260, 217, 69, 443?

You can find a detailed procedure to find GCD of 260, 217, 69, 443 on our page.

3. How to find GCD of 260, 217, 69, 443 on a calculator?

You can find the GCD of 260, 217, 69, 443 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.