GCD of 945, 552, 241, 403 Calculator

Given Input numbers are 945, 552, 241, 403

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 241

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

1, 241

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Greatest Common Divisior

We found the divisors of 945, 552, 241, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 552, 241, 403 is 1.

Therefore, GCD of numbers 945, 552, 241, 403 is 1

Given Input Data is 945, 552, 241, 403

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 241 is 241

Prime Factorization of 403 is 13 x 31

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(945, 552) = 173880

GCD(945, 552) = ( 945 x 552 ) / 173880

GCD(945, 552) = 521640 / 173880

GCD(945, 552) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 241

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

LCM(3, 241) = 723

GCD(3, 241) = ( 3 x 241 ) / 723

GCD(3, 241) = 723 / 723

GCD(3, 241) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 403

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

LCM(1, 403) = 403

GCD(1, 403) = ( 1 x 403 ) / 403

GCD(1, 403) = 403 / 403

GCD(1, 403) = 1

GCD of 945, 552, 241, 403 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 698, 139, 227
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• GCD of 382, 923, 661, 423

1. What is the GCD of 945, 552, 241, 403?

GCD of 945, 552, 241, 403 is 1

2. Where do I get the detailed procedure to find GCD of 945, 552, 241, 403?

You can find a detailed procedure to find GCD of 945, 552, 241, 403 on our page.

3. How to find GCD of 945, 552, 241, 403 on a calculator?

You can find the GCD of 945, 552, 241, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.