GCD of 486, 714, 528, 470 Calculator

Given Input numbers are 486, 714, 528, 470

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

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 470

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

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

Greatest Common Divisior

We found the divisors of 486, 714, 528, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 714, 528, 470 is 2.

Therefore, GCD of numbers 486, 714, 528, 470 is 2

Given Input Data is 486, 714, 528, 470

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

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 470 is 2 x 5 x 47

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(486, 714) = 57834

GCD(486, 714) = ( 486 x 714 ) / 57834

GCD(486, 714) = 347004 / 57834

GCD(486, 714) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 528

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

LCM(6, 528) = 528

GCD(6, 528) = ( 6 x 528 ) / 528

GCD(6, 528) = 3168 / 528

GCD(6, 528) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 470

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

LCM(6, 470) = 1410

GCD(6, 470) = ( 6 x 470 ) / 1410

GCD(6, 470) = 2820 / 1410

GCD(6, 470) = 2

GCD of 486, 714, 528, 470 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 400, 842, 578
• GCD of 150, 852, 694, 190
• GCD of 169, 914, 306, 823
• GCD of 876, 283, 535, 936
• GCD of 342, 753, 265, 213

1. What is the GCD of 486, 714, 528, 470?

GCD of 486, 714, 528, 470 is 2

2. Where do I get the detailed procedure to find GCD of 486, 714, 528, 470?

You can find a detailed procedure to find GCD of 486, 714, 528, 470 on our page.

3. How to find GCD of 486, 714, 528, 470 on a calculator?

You can find the GCD of 486, 714, 528, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.