GCD of 470, 731, 861, 380 Calculator

Given Input numbers are 470, 731, 861, 380

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 731

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

1, 17, 43, 731

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 470, 731, 861, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 731, 861, 380 is 1.

Therefore, GCD of numbers 470, 731, 861, 380 is 1

Given Input Data is 470, 731, 861, 380

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 731 is 17 x 43

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 380 is 2 x 2 x 5 x 19

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(470, 731) = 343570

GCD(470, 731) = ( 470 x 731 ) / 343570

GCD(470, 731) = 343570 / 343570

GCD(470, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 861

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

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

GCD(1, 861) = 861 / 861

GCD(1, 861) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 470, 731, 861, 380 is 1

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1. What is the GCD of 470, 731, 861, 380?

GCD of 470, 731, 861, 380 is 1

2. Where do I get the detailed procedure to find GCD of 470, 731, 861, 380?

You can find a detailed procedure to find GCD of 470, 731, 861, 380 on our page.

3. How to find GCD of 470, 731, 861, 380 on a calculator?

You can find the GCD of 470, 731, 861, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.