GCD of 225, 942, 56, 961 Calculator

Given Input numbers are 225, 942, 56, 961

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 225, 942, 56, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 942, 56, 961 is 1.

Therefore, GCD of numbers 225, 942, 56, 961 is 1

Given Input Data is 225, 942, 56, 961

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 961 is 31 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(225, 942) = 70650

GCD(225, 942) = ( 225 x 942 ) / 70650

GCD(225, 942) = 211950 / 70650

GCD(225, 942) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 56

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

LCM(3, 56) = 168

GCD(3, 56) = ( 3 x 56 ) / 168

GCD(3, 56) = 168 / 168

GCD(3, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 225, 942, 56, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 510, 73, 485
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• GCD of 500, 616, 24, 991

1. What is the GCD of 225, 942, 56, 961?

GCD of 225, 942, 56, 961 is 1

2. Where do I get the detailed procedure to find GCD of 225, 942, 56, 961?

You can find a detailed procedure to find GCD of 225, 942, 56, 961 on our page.

3. How to find GCD of 225, 942, 56, 961 on a calculator?

You can find the GCD of 225, 942, 56, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.