GCD of 506, 714, 682, 770 Calculator

Given Input numbers are 506, 714, 682, 770

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

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 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 506, 714, 682, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 714, 682, 770 is 2.

Therefore, GCD of numbers 506, 714, 682, 770 is 2

Given Input Data is 506, 714, 682, 770

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

Prime Factorization of 506 is 2 x 11 x 23

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 770 is 2 x 5 x 7 x 11

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(506, 714) = 180642

GCD(506, 714) = ( 506 x 714 ) / 180642

GCD(506, 714) = 361284 / 180642

GCD(506, 714) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 682

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

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

GCD(2, 682) = 1364 / 682

GCD(2, 682) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 770

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

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

GCD(2, 770) = 1540 / 770

GCD(2, 770) = 2

GCD of 506, 714, 682, 770 is 2

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1. What is the GCD of 506, 714, 682, 770?

GCD of 506, 714, 682, 770 is 2

2. Where do I get the detailed procedure to find GCD of 506, 714, 682, 770?

You can find a detailed procedure to find GCD of 506, 714, 682, 770 on our page.

3. How to find GCD of 506, 714, 682, 770 on a calculator?

You can find the GCD of 506, 714, 682, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.