GCD of 917, 992, 82, 784 Calculator

Given Input numbers are 917, 992, 82, 784

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

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

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 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 917, 992, 82, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 992, 82, 784 is 1.

Therefore, GCD of numbers 917, 992, 82, 784 is 1

Given Input Data is 917, 992, 82, 784

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

Prime Factorization of 917 is 7 x 131

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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(917, 992) = 909664

GCD(917, 992) = ( 917 x 992 ) / 909664

GCD(917, 992) = 909664 / 909664

GCD(917, 992) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 917, 992, 82, 784 is 1

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1. What is the GCD of 917, 992, 82, 784?

GCD of 917, 992, 82, 784 is 1

2. Where do I get the detailed procedure to find GCD of 917, 992, 82, 784?

You can find a detailed procedure to find GCD of 917, 992, 82, 784 on our page.

3. How to find GCD of 917, 992, 82, 784 on a calculator?

You can find the GCD of 917, 992, 82, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.