GCD of 794, 332, 964, 105 Calculator

Given Input numbers are 794, 332, 964, 105

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 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 794, 332, 964, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 332, 964, 105 is 1.

Therefore, GCD of numbers 794, 332, 964, 105 is 1

Given Input Data is 794, 332, 964, 105

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 105 is 3 x 5 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(794, 332) = 131804

GCD(794, 332) = ( 794 x 332 ) / 131804

GCD(794, 332) = 263608 / 131804

GCD(794, 332) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 964

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

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

GCD(2, 964) = 1928 / 964

GCD(2, 964) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 105

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

LCM(2, 105) = 210

GCD(2, 105) = ( 2 x 105 ) / 210

GCD(2, 105) = 210 / 210

GCD(2, 105) = 1

GCD of 794, 332, 964, 105 is 1

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1. What is the GCD of 794, 332, 964, 105?

GCD of 794, 332, 964, 105 is 1

2. Where do I get the detailed procedure to find GCD of 794, 332, 964, 105?

You can find a detailed procedure to find GCD of 794, 332, 964, 105 on our page.

3. How to find GCD of 794, 332, 964, 105 on a calculator?

You can find the GCD of 794, 332, 964, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.