GCD of 470, 510, 74, 710 Calculator

Given Input numbers are 470, 510, 74, 710

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 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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 470, 510, 74, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 510, 74, 710 is 2.

Therefore, GCD of numbers 470, 510, 74, 710 is 2

Given Input Data is 470, 510, 74, 710

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 510 is 2 x 3 x 5 x 17

Prime Factorization of 74 is 2 x 37

Prime Factorization of 710 is 2 x 5 x 71

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 510) = 23970

GCD(470, 510) = ( 470 x 510 ) / 23970

GCD(470, 510) = 239700 / 23970

GCD(470, 510) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 74

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

LCM(10, 74) = 370

GCD(10, 74) = ( 10 x 74 ) / 370

GCD(10, 74) = 740 / 370

GCD(10, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 710

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

LCM(2, 710) = 710

GCD(2, 710) = ( 2 x 710 ) / 710

GCD(2, 710) = 1420 / 710

GCD(2, 710) = 2

GCD of 470, 510, 74, 710 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 358, 69, 263
• GCD of 174, 547, 79, 411
• GCD of 670, 171, 40, 425
• GCD of 102, 407, 24, 291
• GCD of 672, 236, 26, 682

1. What is the GCD of 470, 510, 74, 710?

GCD of 470, 510, 74, 710 is 2

2. Where do I get the detailed procedure to find GCD of 470, 510, 74, 710?

You can find a detailed procedure to find GCD of 470, 510, 74, 710 on our page.

3. How to find GCD of 470, 510, 74, 710 on a calculator?

You can find the GCD of 470, 510, 74, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.