GCD of 246, 260, 686, 510 Calculator

Given Input numbers are 246, 260, 686, 510

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

Divisors of 246

List of positive integer divisors of 246 that divides 246 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

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

Greatest Common Divisior

We found the divisors of 246, 260, 686, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 246, 260, 686, 510 is 2.

Therefore, GCD of numbers 246, 260, 686, 510 is 2

Given Input Data is 246, 260, 686, 510

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

Prime Factorization of 246 is 2 x 3 x 41

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 510 is 2 x 3 x 5 x 17

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(246, 260) = 31980

GCD(246, 260) = ( 246 x 260 ) / 31980

GCD(246, 260) = 63960 / 31980

GCD(246, 260) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 686

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

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

GCD(2, 686) = 1372 / 686

GCD(2, 686) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 510

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

LCM(2, 510) = 510

GCD(2, 510) = ( 2 x 510 ) / 510

GCD(2, 510) = 1020 / 510

GCD(2, 510) = 2

GCD of 246, 260, 686, 510 is 2

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1. What is the GCD of 246, 260, 686, 510?

GCD of 246, 260, 686, 510 is 2

2. Where do I get the detailed procedure to find GCD of 246, 260, 686, 510?

You can find a detailed procedure to find GCD of 246, 260, 686, 510 on our page.

3. How to find GCD of 246, 260, 686, 510 on a calculator?

You can find the GCD of 246, 260, 686, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.