GCD of 65, 208, 226, 721 Calculator

Given Input numbers are 65, 208, 226, 721

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 65, 208, 226, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 208, 226, 721 is 1.

Therefore, GCD of numbers 65, 208, 226, 721 is 1

Given Input Data is 65, 208, 226, 721

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 226 is 2 x 113

Prime Factorization of 721 is 7 x 103

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(65, 208) = 1040

GCD(65, 208) = ( 65 x 208 ) / 1040

GCD(65, 208) = 13520 / 1040

GCD(65, 208) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 226

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

LCM(13, 226) = 2938

GCD(13, 226) = ( 13 x 226 ) / 2938

GCD(13, 226) = 2938 / 2938

GCD(13, 226) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 65, 208, 226, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 791, 976, 739
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• GCD of 71, 856, 456, 391
• GCD of 28, 249, 433, 203
• GCD of 69, 464, 200, 803

1. What is the GCD of 65, 208, 226, 721?

GCD of 65, 208, 226, 721 is 1

2. Where do I get the detailed procedure to find GCD of 65, 208, 226, 721?

You can find a detailed procedure to find GCD of 65, 208, 226, 721 on our page.

3. How to find GCD of 65, 208, 226, 721 on a calculator?

You can find the GCD of 65, 208, 226, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.