GCD of 915, 960, 29 Calculator

Given Input numbers are 915, 960, 29

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

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Greatest Common Divisior

We found the divisors of 915, 960, 29 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 960, 29 is 1.

Therefore, GCD of numbers 915, 960, 29 is 1

Given Input Data is 915, 960, 29

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 29 is 29

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(915, 960) = 58560

GCD(915, 960) = ( 915 x 960 ) / 58560

GCD(915, 960) = 878400 / 58560

GCD(915, 960) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 29

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

LCM(15, 29) = 435

GCD(15, 29) = ( 15 x 29 ) / 435

GCD(15, 29) = 435 / 435

GCD(15, 29) = 1

GCD of 915, 960, 29 is 1

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1. What is the GCD of 915, 960, 29?

GCD of 915, 960, 29 is 1

2. Where do I get the detailed procedure to find GCD of 915, 960, 29?

You can find a detailed procedure to find GCD of 915, 960, 29 on our page.

3. How to find GCD of 915, 960, 29 on a calculator?

You can find the GCD of 915, 960, 29 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.