GCD of 740, 656, 566, 242 Calculator

Given Input numbers are 740, 656, 566, 242

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 242

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

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 740, 656, 566, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 656, 566, 242 is 2.

Therefore, GCD of numbers 740, 656, 566, 242 is 2

Given Input Data is 740, 656, 566, 242

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 566 is 2 x 283

Prime Factorization of 242 is 2 x 11 x 11

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(740, 656) = 121360

GCD(740, 656) = ( 740 x 656 ) / 121360

GCD(740, 656) = 485440 / 121360

GCD(740, 656) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 566

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

LCM(4, 566) = 1132

GCD(4, 566) = ( 4 x 566 ) / 1132

GCD(4, 566) = 2264 / 1132

GCD(4, 566) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 242

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

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

GCD(2, 242) = 484 / 242

GCD(2, 242) = 2

GCD of 740, 656, 566, 242 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 560, 473, 337
• GCD of 428, 831, 867, 358
• GCD of 246, 750, 303, 169
• GCD of 794, 156, 732, 484
• GCD of 982, 193, 220, 631

1. What is the GCD of 740, 656, 566, 242?

GCD of 740, 656, 566, 242 is 2

2. Where do I get the detailed procedure to find GCD of 740, 656, 566, 242?

You can find a detailed procedure to find GCD of 740, 656, 566, 242 on our page.

3. How to find GCD of 740, 656, 566, 242 on a calculator?

You can find the GCD of 740, 656, 566, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.