GCD of 447, 406, 67, 112 Calculator

Given Input numbers are 447, 406, 67, 112

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

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

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

Greatest Common Divisior

We found the divisors of 447, 406, 67, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 447, 406, 67, 112 is 1.

Therefore, GCD of numbers 447, 406, 67, 112 is 1

Given Input Data is 447, 406, 67, 112

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

Prime Factorization of 447 is 3 x 149

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 67 is 67

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

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(447, 406) = 181482

GCD(447, 406) = ( 447 x 406 ) / 181482

GCD(447, 406) = 181482 / 181482

GCD(447, 406) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 447, 406, 67, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 486, 45, 217
• GCD of 714, 206, 53, 929
• GCD of 449, 455, 56, 557
• GCD of 544, 956, 80, 649
• GCD of 783, 879, 37, 357

1. What is the GCD of 447, 406, 67, 112?

GCD of 447, 406, 67, 112 is 1

2. Where do I get the detailed procedure to find GCD of 447, 406, 67, 112?

You can find a detailed procedure to find GCD of 447, 406, 67, 112 on our page.

3. How to find GCD of 447, 406, 67, 112 on a calculator?

You can find the GCD of 447, 406, 67, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.