GCD of 703, 221, 86, 224 Calculator

Given Input numbers are 703, 221, 86, 224

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

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

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 703, 221, 86, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 221, 86, 224 is 1.

Therefore, GCD of numbers 703, 221, 86, 224 is 1

Given Input Data is 703, 221, 86, 224

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 221 is 13 x 17

Prime Factorization of 86 is 2 x 43

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(703, 221) = 155363

GCD(703, 221) = ( 703 x 221 ) / 155363

GCD(703, 221) = 155363 / 155363

GCD(703, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 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 703, 221, 86, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 483, 83, 534
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1. What is the GCD of 703, 221, 86, 224?

GCD of 703, 221, 86, 224 is 1

2. Where do I get the detailed procedure to find GCD of 703, 221, 86, 224?

You can find a detailed procedure to find GCD of 703, 221, 86, 224 on our page.

3. How to find GCD of 703, 221, 86, 224 on a calculator?

You can find the GCD of 703, 221, 86, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.