GCD of 510, 686, 48, 846 Calculator

Given Input numbers are 510, 686, 48, 846

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

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 686

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

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 510, 686, 48, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 686, 48, 846 is 2.

Therefore, GCD of numbers 510, 686, 48, 846 is 2

Given Input Data is 510, 686, 48, 846

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

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

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 846 is 2 x 3 x 3 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(510, 686) = 174930

GCD(510, 686) = ( 510 x 686 ) / 174930

GCD(510, 686) = 349860 / 174930

GCD(510, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 846

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

LCM(2, 846) = 846

GCD(2, 846) = ( 2 x 846 ) / 846

GCD(2, 846) = 1692 / 846

GCD(2, 846) = 2

GCD of 510, 686, 48, 846 is 2

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• GCD of 955, 913, 29, 166
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1. What is the GCD of 510, 686, 48, 846?

GCD of 510, 686, 48, 846 is 2

2. Where do I get the detailed procedure to find GCD of 510, 686, 48, 846?

You can find a detailed procedure to find GCD of 510, 686, 48, 846 on our page.

3. How to find GCD of 510, 686, 48, 846 on a calculator?

You can find the GCD of 510, 686, 48, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.