GCD of 794, 984, 48, 764 Calculator

Given Input numbers are 794, 984, 48, 764

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

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 794, 984, 48, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 984, 48, 764 is 2.

Therefore, GCD of numbers 794, 984, 48, 764 is 2

Given Input Data is 794, 984, 48, 764

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 764 is 2 x 2 x 191

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(794, 984) = 390648

GCD(794, 984) = ( 794 x 984 ) / 390648

GCD(794, 984) = 781296 / 390648

GCD(794, 984) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 764

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

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

GCD(2, 764) = 1528 / 764

GCD(2, 764) = 2

GCD of 794, 984, 48, 764 is 2

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1. What is the GCD of 794, 984, 48, 764?

GCD of 794, 984, 48, 764 is 2

2. Where do I get the detailed procedure to find GCD of 794, 984, 48, 764?

You can find a detailed procedure to find GCD of 794, 984, 48, 764 on our page.

3. How to find GCD of 794, 984, 48, 764 on a calculator?

You can find the GCD of 794, 984, 48, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.