GCD of 730, 734, 447, 350 Calculator

Given Input numbers are 730, 734, 447, 350

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

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 447

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

1, 3, 149, 447

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 730, 734, 447, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 734, 447, 350 is 1.

Therefore, GCD of numbers 730, 734, 447, 350 is 1

Given Input Data is 730, 734, 447, 350

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 734 is 2 x 367

Prime Factorization of 447 is 3 x 149

Prime Factorization of 350 is 2 x 5 x 5 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(730, 734) = 267910

GCD(730, 734) = ( 730 x 734 ) / 267910

GCD(730, 734) = 535820 / 267910

GCD(730, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 447

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

LCM(2, 447) = 894

GCD(2, 447) = ( 2 x 447 ) / 894

GCD(2, 447) = 894 / 894

GCD(2, 447) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

GCD of 730, 734, 447, 350 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 573, 715, 456
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• GCD of 794, 260, 740, 295
• GCD of 314, 866, 782, 893

1. What is the GCD of 730, 734, 447, 350?

GCD of 730, 734, 447, 350 is 1

2. Where do I get the detailed procedure to find GCD of 730, 734, 447, 350?

You can find a detailed procedure to find GCD of 730, 734, 447, 350 on our page.

3. How to find GCD of 730, 734, 447, 350 on a calculator?

You can find the GCD of 730, 734, 447, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.