GCD of 208, 996, 886, 168 Calculator

Given Input numbers are 208, 996, 886, 168

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Greatest Common Divisior

We found the divisors of 208, 996, 886, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 996, 886, 168 is 2.

Therefore, GCD of numbers 208, 996, 886, 168 is 2

Given Input Data is 208, 996, 886, 168

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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

Prime Factorization of 886 is 2 x 443

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

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(208, 996) = 51792

GCD(208, 996) = ( 208 x 996 ) / 51792

GCD(208, 996) = 207168 / 51792

GCD(208, 996) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 886

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

LCM(4, 886) = 1772

GCD(4, 886) = ( 4 x 886 ) / 1772

GCD(4, 886) = 3544 / 1772

GCD(4, 886) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 168

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

LCM(2, 168) = 168

GCD(2, 168) = ( 2 x 168 ) / 168

GCD(2, 168) = 336 / 168

GCD(2, 168) = 2

GCD of 208, 996, 886, 168 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 841, 662, 469
• GCD of 238, 345, 828, 888
• GCD of 559, 860, 550, 516
• GCD of 171, 880, 650, 576
• GCD of 444, 932, 339, 671

1. What is the GCD of 208, 996, 886, 168?

GCD of 208, 996, 886, 168 is 2

2. Where do I get the detailed procedure to find GCD of 208, 996, 886, 168?

You can find a detailed procedure to find GCD of 208, 996, 886, 168 on our page.

3. How to find GCD of 208, 996, 886, 168 on a calculator?

You can find the GCD of 208, 996, 886, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.