GCD of 996, 658, 848, 510 Calculator

Given Input numbers are 996, 658, 848, 510

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

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 996, 658, 848, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 658, 848, 510 is 2.

Therefore, GCD of numbers 996, 658, 848, 510 is 2

Given Input Data is 996, 658, 848, 510

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

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(996, 658) = 327684

GCD(996, 658) = ( 996 x 658 ) / 327684

GCD(996, 658) = 655368 / 327684

GCD(996, 658) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 848

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

LCM(2, 848) = 848

GCD(2, 848) = ( 2 x 848 ) / 848

GCD(2, 848) = 1696 / 848

GCD(2, 848) = 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 996, 658, 848, 510 is 2

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1. What is the GCD of 996, 658, 848, 510?

GCD of 996, 658, 848, 510 is 2

2. Where do I get the detailed procedure to find GCD of 996, 658, 848, 510?

You can find a detailed procedure to find GCD of 996, 658, 848, 510 on our page.

3. How to find GCD of 996, 658, 848, 510 on a calculator?

You can find the GCD of 996, 658, 848, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.