GCD of 447, 745, 11, 688 Calculator

Given Input numbers are 447, 745, 11, 688

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

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 447, 745, 11, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 447, 745, 11, 688 is 1.

Therefore, GCD of numbers 447, 745, 11, 688 is 1

Given Input Data is 447, 745, 11, 688

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

Prime Factorization of 447 is 3 x 149

Prime Factorization of 745 is 5 x 149

Prime Factorization of 11 is 11

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(447, 745) = 2235

GCD(447, 745) = ( 447 x 745 ) / 2235

GCD(447, 745) = 333015 / 2235

GCD(447, 745) = 149

Step2:

Here we consider the GCD from the above i.e. 149 as first number and the next as 11

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

LCM(149, 11) = 1639

GCD(149, 11) = ( 149 x 11 ) / 1639

GCD(149, 11) = 1639 / 1639

GCD(149, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 447, 745, 11, 688 is 1

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1. What is the GCD of 447, 745, 11, 688?

GCD of 447, 745, 11, 688 is 1

2. Where do I get the detailed procedure to find GCD of 447, 745, 11, 688?

You can find a detailed procedure to find GCD of 447, 745, 11, 688 on our page.

3. How to find GCD of 447, 745, 11, 688 on a calculator?

You can find the GCD of 447, 745, 11, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.