GCD of 112, 237, 45, 550 Calculator

Given Input numbers are 112, 237, 45, 550

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Greatest Common Divisior

We found the divisors of 112, 237, 45, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 237, 45, 550 is 1.

Therefore, GCD of numbers 112, 237, 45, 550 is 1

Given Input Data is 112, 237, 45, 550

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 237 is 3 x 79

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 550 is 2 x 5 x 5 x 11

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(112, 237) = 26544

GCD(112, 237) = ( 112 x 237 ) / 26544

GCD(112, 237) = 26544 / 26544

GCD(112, 237) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 550

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

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

GCD(1, 550) = 550 / 550

GCD(1, 550) = 1

GCD of 112, 237, 45, 550 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 128, 850, 18, 724
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• GCD of 125, 466, 11, 168
• GCD of 676, 477, 46, 944
• GCD of 334, 548, 26, 530

1. What is the GCD of 112, 237, 45, 550?

GCD of 112, 237, 45, 550 is 1

2. Where do I get the detailed procedure to find GCD of 112, 237, 45, 550?

You can find a detailed procedure to find GCD of 112, 237, 45, 550 on our page.

3. How to find GCD of 112, 237, 45, 550 on a calculator?

You can find the GCD of 112, 237, 45, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.