GCD of 731, 471, 870, 838 Calculator

Given Input numbers are 731, 471, 870, 838

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 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 731, 471, 870, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 471, 870, 838 is 1.

Therefore, GCD of numbers 731, 471, 870, 838 is 1

Given Input Data is 731, 471, 870, 838

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 471 is 3 x 157

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 838 is 2 x 419

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, 471) = 344301

GCD(731, 471) = ( 731 x 471 ) / 344301

GCD(731, 471) = 344301 / 344301

GCD(731, 471) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 731, 471, 870, 838 is 1

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1. What is the GCD of 731, 471, 870, 838?

GCD of 731, 471, 870, 838 is 1

2. Where do I get the detailed procedure to find GCD of 731, 471, 870, 838?

You can find a detailed procedure to find GCD of 731, 471, 870, 838 on our page.

3. How to find GCD of 731, 471, 870, 838 on a calculator?

You can find the GCD of 731, 471, 870, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.