GCD of 225, 412, 43, 988 Calculator

Given Input numbers are 225, 412, 43, 988

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 225, 412, 43, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 412, 43, 988 is 1.

Therefore, GCD of numbers 225, 412, 43, 988 is 1

Given Input Data is 225, 412, 43, 988

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 412 is 2 x 2 x 103

Prime Factorization of 43 is 43

Prime Factorization of 988 is 2 x 2 x 13 x 19

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, 412) = 92700

GCD(225, 412) = ( 225 x 412 ) / 92700

GCD(225, 412) = 92700 / 92700

GCD(225, 412) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 43

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

LCM(1, 43) = 43

GCD(1, 43) = ( 1 x 43 ) / 43

GCD(1, 43) = 43 / 43

GCD(1, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 225, 412, 43, 988 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 698, 32, 443
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• GCD of 171, 581, 36, 334

1. What is the GCD of 225, 412, 43, 988?

GCD of 225, 412, 43, 988 is 1

2. Where do I get the detailed procedure to find GCD of 225, 412, 43, 988?

You can find a detailed procedure to find GCD of 225, 412, 43, 988 on our page.

3. How to find GCD of 225, 412, 43, 988 on a calculator?

You can find the GCD of 225, 412, 43, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.