GCD of 961, 715, 15 Calculator

Given Input numbers are 961, 715, 15

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

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Greatest Common Divisior

We found the divisors of 961, 715, 15 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 715, 15 is 1.

Therefore, GCD of numbers 961, 715, 15 is 1

Given Input Data is 961, 715, 15

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 15 is 3 x 5

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(961, 715) = 687115

GCD(961, 715) = ( 961 x 715 ) / 687115

GCD(961, 715) = 687115 / 687115

GCD(961, 715) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

GCD of 961, 715, 15 is 1

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1. What is the GCD of 961, 715, 15?

GCD of 961, 715, 15 is 1

2. Where do I get the detailed procedure to find GCD of 961, 715, 15?

You can find a detailed procedure to find GCD of 961, 715, 15 on our page.

3. How to find GCD of 961, 715, 15 on a calculator?

You can find the GCD of 961, 715, 15 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.