GCD of 750, 865, 710 Calculator

Given Input numbers are 750, 865, 710

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 710

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

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

Greatest Common Divisior

We found the divisors of 750, 865, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 865, 710 is 5.

Therefore, GCD of numbers 750, 865, 710 is 5

Given Input Data is 750, 865, 710

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 865 is 5 x 173

Prime Factorization of 710 is 2 x 5 x 71

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(750, 865) = 129750

GCD(750, 865) = ( 750 x 865 ) / 129750

GCD(750, 865) = 648750 / 129750

GCD(750, 865) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 710

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

LCM(5, 710) = 710

GCD(5, 710) = ( 5 x 710 ) / 710

GCD(5, 710) = 3550 / 710

GCD(5, 710) = 5

GCD of 750, 865, 710 is 5

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1. What is the GCD of 750, 865, 710?

GCD of 750, 865, 710 is 5

2. Where do I get the detailed procedure to find GCD of 750, 865, 710?

You can find a detailed procedure to find GCD of 750, 865, 710 on our page.

3. How to find GCD of 750, 865, 710 on a calculator?

You can find the GCD of 750, 865, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.