GCD of 710, 310, 235 Calculator

Given Input numbers are 710, 310, 235

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

Divisors of 710

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

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 710, 310, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 310, 235 is 5.

Therefore, GCD of numbers 710, 310, 235 is 5

Given Input Data is 710, 310, 235

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

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 235 is 5 x 47

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(710, 310) = 22010

GCD(710, 310) = ( 710 x 310 ) / 22010

GCD(710, 310) = 220100 / 22010

GCD(710, 310) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 235

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

LCM(10, 235) = 470

GCD(10, 235) = ( 10 x 235 ) / 470

GCD(10, 235) = 2350 / 470

GCD(10, 235) = 5

GCD of 710, 310, 235 is 5

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1. What is the GCD of 710, 310, 235?

GCD of 710, 310, 235 is 5

2. Where do I get the detailed procedure to find GCD of 710, 310, 235?

You can find a detailed procedure to find GCD of 710, 310, 235 on our page.

3. How to find GCD of 710, 310, 235 on a calculator?

You can find the GCD of 710, 310, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.