GCD of 242, 407, 907, 747 Calculator

Given Input numbers are 242, 407, 907, 747

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 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 242, 407, 907, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 407, 907, 747 is 1.

Therefore, GCD of numbers 242, 407, 907, 747 is 1

Given Input Data is 242, 407, 907, 747

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 407 is 11 x 37

Prime Factorization of 907 is 907

Prime Factorization of 747 is 3 x 3 x 83

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(242, 407) = 8954

GCD(242, 407) = ( 242 x 407 ) / 8954

GCD(242, 407) = 98494 / 8954

GCD(242, 407) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 907

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

LCM(11, 907) = 9977

GCD(11, 907) = ( 11 x 907 ) / 9977

GCD(11, 907) = 9977 / 9977

GCD(11, 907) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 242, 407, 907, 747 is 1

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1. What is the GCD of 242, 407, 907, 747?

GCD of 242, 407, 907, 747 is 1

2. Where do I get the detailed procedure to find GCD of 242, 407, 907, 747?

You can find a detailed procedure to find GCD of 242, 407, 907, 747 on our page.

3. How to find GCD of 242, 407, 907, 747 on a calculator?

You can find the GCD of 242, 407, 907, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.