GCD of 112, 711, 227, 450 Calculator

Given Input numbers are 112, 711, 227, 450

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 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Greatest Common Divisior

We found the divisors of 112, 711, 227, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 711, 227, 450 is 1.

Therefore, GCD of numbers 112, 711, 227, 450 is 1

Given Input Data is 112, 711, 227, 450

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 711 is 3 x 3 x 79

Prime Factorization of 227 is 227

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

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, 711) = 79632

GCD(112, 711) = ( 112 x 711 ) / 79632

GCD(112, 711) = 79632 / 79632

GCD(112, 711) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 227

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

LCM(1, 227) = 227

GCD(1, 227) = ( 1 x 227 ) / 227

GCD(1, 227) = 227 / 227

GCD(1, 227) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 112, 711, 227, 450 is 1

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• GCD of 583, 557, 777, 476
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1. What is the GCD of 112, 711, 227, 450?

GCD of 112, 711, 227, 450 is 1

2. Where do I get the detailed procedure to find GCD of 112, 711, 227, 450?

You can find a detailed procedure to find GCD of 112, 711, 227, 450 on our page.

3. How to find GCD of 112, 711, 227, 450 on a calculator?

You can find the GCD of 112, 711, 227, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.