GCD of 731, 165, 899, 734 Calculator

Given Input numbers are 731, 165, 899, 734

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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 734

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

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 731, 165, 899, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 165, 899, 734 is 1.

Therefore, GCD of numbers 731, 165, 899, 734 is 1

Given Input Data is 731, 165, 899, 734

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 899 is 29 x 31

Prime Factorization of 734 is 2 x 367

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(731, 165) = 120615

GCD(731, 165) = ( 731 x 165 ) / 120615

GCD(731, 165) = 120615 / 120615

GCD(731, 165) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 731, 165, 899, 734 is 1

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1. What is the GCD of 731, 165, 899, 734?

GCD of 731, 165, 899, 734 is 1

2. Where do I get the detailed procedure to find GCD of 731, 165, 899, 734?

You can find a detailed procedure to find GCD of 731, 165, 899, 734 on our page.

3. How to find GCD of 731, 165, 899, 734 on a calculator?

You can find the GCD of 731, 165, 899, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.