GCD of 196, 438, 96, 250 Calculator

Given Input numbers are 196, 438, 96, 250

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Greatest Common Divisior

We found the divisors of 196, 438, 96, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 438, 96, 250 is 2.

Therefore, GCD of numbers 196, 438, 96, 250 is 2

Given Input Data is 196, 438, 96, 250

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 250 is 2 x 5 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(196, 438) = 42924

GCD(196, 438) = ( 196 x 438 ) / 42924

GCD(196, 438) = 85848 / 42924

GCD(196, 438) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 250

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

LCM(2, 250) = 250

GCD(2, 250) = ( 2 x 250 ) / 250

GCD(2, 250) = 500 / 250

GCD(2, 250) = 2

GCD of 196, 438, 96, 250 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 932, 15, 467
• GCD of 558, 660, 58, 484
• GCD of 253, 333, 44, 678
• GCD of 341, 725, 75, 229
• GCD of 632, 369, 41, 140

1. What is the GCD of 196, 438, 96, 250?

GCD of 196, 438, 96, 250 is 2

2. Where do I get the detailed procedure to find GCD of 196, 438, 96, 250?

You can find a detailed procedure to find GCD of 196, 438, 96, 250 on our page.

3. How to find GCD of 196, 438, 96, 250 on a calculator?

You can find the GCD of 196, 438, 96, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.