GCD of 434, 940, 241, 774 Calculator

Given Input numbers are 434, 940, 241, 774

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 434, 940, 241, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 940, 241, 774 is 1.

Therefore, GCD of numbers 434, 940, 241, 774 is 1

Given Input Data is 434, 940, 241, 774

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 241 is 241

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(434, 940) = 203980

GCD(434, 940) = ( 434 x 940 ) / 203980

GCD(434, 940) = 407960 / 203980

GCD(434, 940) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 241

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

LCM(2, 241) = 482

GCD(2, 241) = ( 2 x 241 ) / 482

GCD(2, 241) = 482 / 482

GCD(2, 241) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 434, 940, 241, 774 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 111, 443, 770
• GCD of 297, 510, 127, 977
• GCD of 973, 289, 311, 594
• GCD of 543, 239, 661, 789
• GCD of 203, 505, 157, 302

1. What is the GCD of 434, 940, 241, 774?

GCD of 434, 940, 241, 774 is 1

2. Where do I get the detailed procedure to find GCD of 434, 940, 241, 774?

You can find a detailed procedure to find GCD of 434, 940, 241, 774 on our page.

3. How to find GCD of 434, 940, 241, 774 on a calculator?

You can find the GCD of 434, 940, 241, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.