GCD of 105, 125, 969 Calculator

Given Input numbers are 105, 125, 969

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 105, 125, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 125, 969 is 1.

Therefore, GCD of numbers 105, 125, 969 is 1

Given Input Data is 105, 125, 969

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 969 is 3 x 17 x 19

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(105, 125) = 2625

GCD(105, 125) = ( 105 x 125 ) / 2625

GCD(105, 125) = 13125 / 2625

GCD(105, 125) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 969

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

LCM(5, 969) = 4845

GCD(5, 969) = ( 5 x 969 ) / 4845

GCD(5, 969) = 4845 / 4845

GCD(5, 969) = 1

GCD of 105, 125, 969 is 1

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1. What is the GCD of 105, 125, 969?

GCD of 105, 125, 969 is 1

2. Where do I get the detailed procedure to find GCD of 105, 125, 969?

You can find a detailed procedure to find GCD of 105, 125, 969 on our page.

3. How to find GCD of 105, 125, 969 on a calculator?

You can find the GCD of 105, 125, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.