GCD of 260, 950, 814, 867 Calculator

Given Input numbers are 260, 950, 814, 867

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 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 260, 950, 814, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 950, 814, 867 is 1.

Therefore, GCD of numbers 260, 950, 814, 867 is 1

Given Input Data is 260, 950, 814, 867

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 950 is 2 x 5 x 5 x 19

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 867 is 3 x 17 x 17

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, 950) = 24700

GCD(260, 950) = ( 260 x 950 ) / 24700

GCD(260, 950) = 247000 / 24700

GCD(260, 950) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 814

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

LCM(10, 814) = 4070

GCD(10, 814) = ( 10 x 814 ) / 4070

GCD(10, 814) = 8140 / 4070

GCD(10, 814) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 867

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

LCM(2, 867) = 1734

GCD(2, 867) = ( 2 x 867 ) / 1734

GCD(2, 867) = 1734 / 1734

GCD(2, 867) = 1

GCD of 260, 950, 814, 867 is 1

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1. What is the GCD of 260, 950, 814, 867?

GCD of 260, 950, 814, 867 is 1

2. Where do I get the detailed procedure to find GCD of 260, 950, 814, 867?

You can find a detailed procedure to find GCD of 260, 950, 814, 867 on our page.

3. How to find GCD of 260, 950, 814, 867 on a calculator?

You can find the GCD of 260, 950, 814, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.