GCD of 848, 684, 868, 112 Calculator

Given Input numbers are 848, 684, 868, 112

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

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 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 848, 684, 868, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 684, 868, 112 is 4.

Therefore, GCD of numbers 848, 684, 868, 112 is 4

Given Input Data is 848, 684, 868, 112

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

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(848, 684) = 145008

GCD(848, 684) = ( 848 x 684 ) / 145008

GCD(848, 684) = 580032 / 145008

GCD(848, 684) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 868

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

LCM(4, 868) = 868

GCD(4, 868) = ( 4 x 868 ) / 868

GCD(4, 868) = 3472 / 868

GCD(4, 868) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 112

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

LCM(4, 112) = 112

GCD(4, 112) = ( 4 x 112 ) / 112

GCD(4, 112) = 448 / 112

GCD(4, 112) = 4

GCD of 848, 684, 868, 112 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 702, 923, 321, 389
• GCD of 813, 136, 586, 662
• GCD of 532, 865, 975, 737
• GCD of 706, 852, 337, 810
• GCD of 675, 734, 300, 597

1. What is the GCD of 848, 684, 868, 112?

GCD of 848, 684, 868, 112 is 4

2. Where do I get the detailed procedure to find GCD of 848, 684, 868, 112?

You can find a detailed procedure to find GCD of 848, 684, 868, 112 on our page.

3. How to find GCD of 848, 684, 868, 112 on a calculator?

You can find the GCD of 848, 684, 868, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.