GCD of 976, 112, 92, 819 Calculator

Given Input numbers are 976, 112, 92, 819

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Greatest Common Divisior

We found the divisors of 976, 112, 92, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 112, 92, 819 is 1.

Therefore, GCD of numbers 976, 112, 92, 819 is 1

Given Input Data is 976, 112, 92, 819

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 819 is 3 x 3 x 7 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(976, 112) = 6832

GCD(976, 112) = ( 976 x 112 ) / 6832

GCD(976, 112) = 109312 / 6832

GCD(976, 112) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 92

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

LCM(16, 92) = 368

GCD(16, 92) = ( 16 x 92 ) / 368

GCD(16, 92) = 1472 / 368

GCD(16, 92) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 819

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

LCM(4, 819) = 3276

GCD(4, 819) = ( 4 x 819 ) / 3276

GCD(4, 819) = 3276 / 3276

GCD(4, 819) = 1

GCD of 976, 112, 92, 819 is 1

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1. What is the GCD of 976, 112, 92, 819?

GCD of 976, 112, 92, 819 is 1

2. Where do I get the detailed procedure to find GCD of 976, 112, 92, 819?

You can find a detailed procedure to find GCD of 976, 112, 92, 819 on our page.

3. How to find GCD of 976, 112, 92, 819 on a calculator?

You can find the GCD of 976, 112, 92, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.