GCD of 84, 643, 427, 224 Calculator

Given Input numbers are 84, 643, 427, 224

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 84, 643, 427, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 643, 427, 224 is 1.

Therefore, GCD of numbers 84, 643, 427, 224 is 1

Given Input Data is 84, 643, 427, 224

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 643 is 643

Prime Factorization of 427 is 7 x 61

Prime Factorization of 224 is 2 x 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(84, 643) = 54012

GCD(84, 643) = ( 84 x 643 ) / 54012

GCD(84, 643) = 54012 / 54012

GCD(84, 643) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 84, 643, 427, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 123, 166, 288
• GCD of 34, 114, 250, 873
• GCD of 47, 855, 422, 875
• GCD of 28, 391, 818, 466
• GCD of 29, 642, 173, 334

1. What is the GCD of 84, 643, 427, 224?

GCD of 84, 643, 427, 224 is 1

2. Where do I get the detailed procedure to find GCD of 84, 643, 427, 224?

You can find a detailed procedure to find GCD of 84, 643, 427, 224 on our page.

3. How to find GCD of 84, 643, 427, 224 on a calculator?

You can find the GCD of 84, 643, 427, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.