GCD of 733, 400, 109, 710 Calculator

Given Input numbers are 733, 400, 109, 710

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

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Greatest Common Divisior

We found the divisors of 733, 400, 109, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 733, 400, 109, 710 is 1.

Therefore, GCD of numbers 733, 400, 109, 710 is 1

Given Input Data is 733, 400, 109, 710

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

Prime Factorization of 733 is 733

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 109 is 109

Prime Factorization of 710 is 2 x 5 x 71

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(733, 400) = 293200

GCD(733, 400) = ( 733 x 400 ) / 293200

GCD(733, 400) = 293200 / 293200

GCD(733, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 710

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

LCM(1, 710) = 710

GCD(1, 710) = ( 1 x 710 ) / 710

GCD(1, 710) = 710 / 710

GCD(1, 710) = 1

GCD of 733, 400, 109, 710 is 1

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1. What is the GCD of 733, 400, 109, 710?

GCD of 733, 400, 109, 710 is 1

2. Where do I get the detailed procedure to find GCD of 733, 400, 109, 710?

You can find a detailed procedure to find GCD of 733, 400, 109, 710 on our page.

3. How to find GCD of 733, 400, 109, 710 on a calculator?

You can find the GCD of 733, 400, 109, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.