GCD of 470, 930, 713, 251 Calculator

Given Input numbers are 470, 930, 713, 251

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 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 470, 930, 713, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 930, 713, 251 is 1.

Therefore, GCD of numbers 470, 930, 713, 251 is 1

Given Input Data is 470, 930, 713, 251

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 930 is 2 x 3 x 5 x 31

Prime Factorization of 713 is 23 x 31

Prime Factorization of 251 is 251

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, 930) = 43710

GCD(470, 930) = ( 470 x 930 ) / 43710

GCD(470, 930) = 437100 / 43710

GCD(470, 930) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 713

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

LCM(10, 713) = 7130

GCD(10, 713) = ( 10 x 713 ) / 7130

GCD(10, 713) = 7130 / 7130

GCD(10, 713) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

GCD of 470, 930, 713, 251 is 1

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1. What is the GCD of 470, 930, 713, 251?

GCD of 470, 930, 713, 251 is 1

2. Where do I get the detailed procedure to find GCD of 470, 930, 713, 251?

You can find a detailed procedure to find GCD of 470, 930, 713, 251 on our page.

3. How to find GCD of 470, 930, 713, 251 on a calculator?

You can find the GCD of 470, 930, 713, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.