GCD of 992, 781, 17, 765 Calculator

Given Input numbers are 992, 781, 17, 765

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 992, 781, 17, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 781, 17, 765 is 1.

Therefore, GCD of numbers 992, 781, 17, 765 is 1

Given Input Data is 992, 781, 17, 765

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 781 is 11 x 71

Prime Factorization of 17 is 17

Prime Factorization of 765 is 3 x 3 x 5 x 17

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(992, 781) = 774752

GCD(992, 781) = ( 992 x 781 ) / 774752

GCD(992, 781) = 774752 / 774752

GCD(992, 781) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

GCD of 992, 781, 17, 765 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 587, 39, 816
• GCD of 464, 130, 12, 214
• GCD of 396, 795, 54, 254
• GCD of 717, 692, 41, 727
• GCD of 771, 358, 99, 584

1. What is the GCD of 992, 781, 17, 765?

GCD of 992, 781, 17, 765 is 1

2. Where do I get the detailed procedure to find GCD of 992, 781, 17, 765?

You can find a detailed procedure to find GCD of 992, 781, 17, 765 on our page.

3. How to find GCD of 992, 781, 17, 765 on a calculator?

You can find the GCD of 992, 781, 17, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.