GCD of 848, 150, 14, 400 Calculator

Given Input numbers are 848, 150, 14, 400

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 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 848, 150, 14, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 150, 14, 400 is 2.

Therefore, GCD of numbers 848, 150, 14, 400 is 2

Given Input Data is 848, 150, 14, 400

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 150 is 2 x 3 x 5 x 5

Prime Factorization of 14 is 2 x 7

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(848, 150) = 63600

GCD(848, 150) = ( 848 x 150 ) / 63600

GCD(848, 150) = 127200 / 63600

GCD(848, 150) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 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 848, 150, 14, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 812, 100, 58, 658
• GCD of 542, 799, 70, 134
• GCD of 145, 285, 73, 275
• GCD of 957, 541, 72, 212
• GCD of 985, 354, 33, 653

1. What is the GCD of 848, 150, 14, 400?

GCD of 848, 150, 14, 400 is 2

2. Where do I get the detailed procedure to find GCD of 848, 150, 14, 400?

You can find a detailed procedure to find GCD of 848, 150, 14, 400 on our page.

3. How to find GCD of 848, 150, 14, 400 on a calculator?

You can find the GCD of 848, 150, 14, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.