GCD of 224, 209, 91, 705 Calculator

Given Input numbers are 224, 209, 91, 705

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 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 224, 209, 91, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 209, 91, 705 is 1.

Therefore, GCD of numbers 224, 209, 91, 705 is 1

Given Input Data is 224, 209, 91, 705

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 209 is 11 x 19

Prime Factorization of 91 is 7 x 13

Prime Factorization of 705 is 3 x 5 x 47

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, 209) = 46816

GCD(224, 209) = ( 224 x 209 ) / 46816

GCD(224, 209) = 46816 / 46816

GCD(224, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 224, 209, 91, 705 is 1

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• GCD of 867, 356, 59, 943
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1. What is the GCD of 224, 209, 91, 705?

GCD of 224, 209, 91, 705 is 1

2. Where do I get the detailed procedure to find GCD of 224, 209, 91, 705?

You can find a detailed procedure to find GCD of 224, 209, 91, 705 on our page.

3. How to find GCD of 224, 209, 91, 705 on a calculator?

You can find the GCD of 224, 209, 91, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.