GCD of 260, 793, 962 Calculator

Given Input numbers are 260, 793, 962

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 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 260, 793, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 793, 962 is 13.

Therefore, GCD of numbers 260, 793, 962 is 13

Given Input Data is 260, 793, 962

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 793 is 13 x 61

Prime Factorization of 962 is 2 x 13 x 37

Highest common occurrences in the given inputs are 13¹

Multiplying them we get the GCD as 13

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, 793) = 15860

GCD(260, 793) = ( 260 x 793 ) / 15860

GCD(260, 793) = 206180 / 15860

GCD(260, 793) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 962

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

LCM(13, 962) = 962

GCD(13, 962) = ( 13 x 962 ) / 962

GCD(13, 962) = 12506 / 962

GCD(13, 962) = 13

GCD of 260, 793, 962 is 13

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1. What is the GCD of 260, 793, 962?

GCD of 260, 793, 962 is 13

2. Where do I get the detailed procedure to find GCD of 260, 793, 962?

You can find a detailed procedure to find GCD of 260, 793, 962 on our page.

3. How to find GCD of 260, 793, 962 on a calculator?

You can find the GCD of 260, 793, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.