GCD of 242, 794, 320, 970 Calculator

Given Input numbers are 242, 794, 320, 970

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 794

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

1, 2, 397, 794

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 242, 794, 320, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 794, 320, 970 is 2.

Therefore, GCD of numbers 242, 794, 320, 970 is 2

Given Input Data is 242, 794, 320, 970

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 794 is 2 x 397

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 970 is 2 x 5 x 97

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(242, 794) = 96074

GCD(242, 794) = ( 242 x 794 ) / 96074

GCD(242, 794) = 192148 / 96074

GCD(242, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 320

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

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

GCD(2, 320) = 640 / 320

GCD(2, 320) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 970

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

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

GCD(2, 970) = 1940 / 970

GCD(2, 970) = 2

GCD of 242, 794, 320, 970 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 162, 758, 939
• GCD of 219, 564, 683, 680
• GCD of 565, 791, 827, 406
• GCD of 382, 800, 162, 630
• GCD of 235, 815, 538, 981

1. What is the GCD of 242, 794, 320, 970?

GCD of 242, 794, 320, 970 is 2

2. Where do I get the detailed procedure to find GCD of 242, 794, 320, 970?

You can find a detailed procedure to find GCD of 242, 794, 320, 970 on our page.

3. How to find GCD of 242, 794, 320, 970 on a calculator?

You can find the GCD of 242, 794, 320, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.