GCD of 981, 408, 715 Calculator

Given Input numbers are 981, 408, 715

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

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 715

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

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

Greatest Common Divisior

We found the divisors of 981, 408, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 408, 715 is 1.

Therefore, GCD of numbers 981, 408, 715 is 1

Given Input Data is 981, 408, 715

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

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 715 is 5 x 11 x 13

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(981, 408) = 133416

GCD(981, 408) = ( 981 x 408 ) / 133416

GCD(981, 408) = 400248 / 133416

GCD(981, 408) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 715

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

LCM(3, 715) = 2145

GCD(3, 715) = ( 3 x 715 ) / 2145

GCD(3, 715) = 2145 / 2145

GCD(3, 715) = 1

GCD of 981, 408, 715 is 1

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1. What is the GCD of 981, 408, 715?

GCD of 981, 408, 715 is 1

2. Where do I get the detailed procedure to find GCD of 981, 408, 715?

You can find a detailed procedure to find GCD of 981, 408, 715 on our page.

3. How to find GCD of 981, 408, 715 on a calculator?

You can find the GCD of 981, 408, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.