GCD of 305, 794, 10, 376 Calculator

Given Input numbers are 305, 794, 10, 376

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 794

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

1, 2, 397, 794

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Greatest Common Divisior

We found the divisors of 305, 794, 10, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 794, 10, 376 is 1.

Therefore, GCD of numbers 305, 794, 10, 376 is 1

Given Input Data is 305, 794, 10, 376

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 794 is 2 x 397

Prime Factorization of 10 is 2 x 5

Prime Factorization of 376 is 2 x 2 x 2 x 47

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(305, 794) = 242170

GCD(305, 794) = ( 305 x 794 ) / 242170

GCD(305, 794) = 242170 / 242170

GCD(305, 794) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 376

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

LCM(1, 376) = 376

GCD(1, 376) = ( 1 x 376 ) / 376

GCD(1, 376) = 376 / 376

GCD(1, 376) = 1

GCD of 305, 794, 10, 376 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 673, 11, 566
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• GCD of 227, 567, 17, 673

1. What is the GCD of 305, 794, 10, 376?

GCD of 305, 794, 10, 376 is 1

2. Where do I get the detailed procedure to find GCD of 305, 794, 10, 376?

You can find a detailed procedure to find GCD of 305, 794, 10, 376 on our page.

3. How to find GCD of 305, 794, 10, 376 on a calculator?

You can find the GCD of 305, 794, 10, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.