GCD of 976, 384, 892 Calculator

Given Input numbers are 976, 384, 892

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 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 976, 384, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 384, 892 is 4.

Therefore, GCD of numbers 976, 384, 892 is 4

Given Input Data is 976, 384, 892

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 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 892 is 2 x 2 x 223

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 384) = 23424

GCD(976, 384) = ( 976 x 384 ) / 23424

GCD(976, 384) = 374784 / 23424

GCD(976, 384) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 892

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

LCM(16, 892) = 3568

GCD(16, 892) = ( 16 x 892 ) / 3568

GCD(16, 892) = 14272 / 3568

GCD(16, 892) = 4

GCD of 976, 384, 892 is 4

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1. What is the GCD of 976, 384, 892?

GCD of 976, 384, 892 is 4

2. Where do I get the detailed procedure to find GCD of 976, 384, 892?

You can find a detailed procedure to find GCD of 976, 384, 892 on our page.

3. How to find GCD of 976, 384, 892 on a calculator?

You can find the GCD of 976, 384, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.