GCD of 224, 101, 823, 662 Calculator

Given Input numbers are 224, 101, 823, 662

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

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Greatest Common Divisior

We found the divisors of 224, 101, 823, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 101, 823, 662 is 1.

Therefore, GCD of numbers 224, 101, 823, 662 is 1

Given Input Data is 224, 101, 823, 662

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 101 is 101

Prime Factorization of 823 is 823

Prime Factorization of 662 is 2 x 331

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(224, 101) = 22624

GCD(224, 101) = ( 224 x 101 ) / 22624

GCD(224, 101) = 22624 / 22624

GCD(224, 101) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 662

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

LCM(1, 662) = 662

GCD(1, 662) = ( 1 x 662 ) / 662

GCD(1, 662) = 662 / 662

GCD(1, 662) = 1

GCD of 224, 101, 823, 662 is 1

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1. What is the GCD of 224, 101, 823, 662?

GCD of 224, 101, 823, 662 is 1

2. Where do I get the detailed procedure to find GCD of 224, 101, 823, 662?

You can find a detailed procedure to find GCD of 224, 101, 823, 662 on our page.

3. How to find GCD of 224, 101, 823, 662 on a calculator?

You can find the GCD of 224, 101, 823, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.