GCD of 992, 776, 834 Calculator

Given Input numbers are 992, 776, 834

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 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 992, 776, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 776, 834 is 2.

Therefore, GCD of numbers 992, 776, 834 is 2

Given Input Data is 992, 776, 834

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 776 is 2 x 2 x 2 x 97

Prime Factorization of 834 is 2 x 3 x 139

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 776) = 96224

GCD(992, 776) = ( 992 x 776 ) / 96224

GCD(992, 776) = 769792 / 96224

GCD(992, 776) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 834

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

LCM(8, 834) = 3336

GCD(8, 834) = ( 8 x 834 ) / 3336

GCD(8, 834) = 6672 / 3336

GCD(8, 834) = 2

GCD of 992, 776, 834 is 2

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1. What is the GCD of 992, 776, 834?

GCD of 992, 776, 834 is 2

2. Where do I get the detailed procedure to find GCD of 992, 776, 834?

You can find a detailed procedure to find GCD of 992, 776, 834 on our page.

3. How to find GCD of 992, 776, 834 on a calculator?

You can find the GCD of 992, 776, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.