GCD of 12, 874, 848, 400 Calculator

Given Input numbers are 12, 874, 848, 400

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

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 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 12, 874, 848, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 874, 848, 400 is 2.

Therefore, GCD of numbers 12, 874, 848, 400 is 2

Given Input Data is 12, 874, 848, 400

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 874 is 2 x 19 x 23

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(12, 874) = 5244

GCD(12, 874) = ( 12 x 874 ) / 5244

GCD(12, 874) = 10488 / 5244

GCD(12, 874) = 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 400

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

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

GCD(2, 400) = 800 / 400

GCD(2, 400) = 2

GCD of 12, 874, 848, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 875, 912, 608
• GCD of 28, 619, 884, 271
• GCD of 29, 106, 863, 709
• GCD of 21, 693, 833, 121
• GCD of 19, 654, 538, 122

1. What is the GCD of 12, 874, 848, 400?

GCD of 12, 874, 848, 400 is 2

2. Where do I get the detailed procedure to find GCD of 12, 874, 848, 400?

You can find a detailed procedure to find GCD of 12, 874, 848, 400 on our page.

3. How to find GCD of 12, 874, 848, 400 on a calculator?

You can find the GCD of 12, 874, 848, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.