GCD of 260, 966, 46, 869 Calculator

Given Input numbers are 260, 966, 46, 869

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 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 260, 966, 46, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 966, 46, 869 is 1.

Therefore, GCD of numbers 260, 966, 46, 869 is 1

Given Input Data is 260, 966, 46, 869

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 966 is 2 x 3 x 7 x 23

Prime Factorization of 46 is 2 x 23

Prime Factorization of 869 is 11 x 79

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, 966) = 125580

GCD(260, 966) = ( 260 x 966 ) / 125580

GCD(260, 966) = 251160 / 125580

GCD(260, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 869

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

LCM(2, 869) = 1738

GCD(2, 869) = ( 2 x 869 ) / 1738

GCD(2, 869) = 1738 / 1738

GCD(2, 869) = 1

GCD of 260, 966, 46, 869 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 175, 19, 637
• GCD of 205, 967, 64, 856
• GCD of 320, 671, 42, 185
• GCD of 462, 707, 76, 225
• GCD of 500, 273, 82, 586

1. What is the GCD of 260, 966, 46, 869?

GCD of 260, 966, 46, 869 is 1

2. Where do I get the detailed procedure to find GCD of 260, 966, 46, 869?

You can find a detailed procedure to find GCD of 260, 966, 46, 869 on our page.

3. How to find GCD of 260, 966, 46, 869 on a calculator?

You can find the GCD of 260, 966, 46, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.