GCD of 748, 832, 198, 400 Calculator

Given Input numbers are 748, 832, 198, 400

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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 748, 832, 198, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 832, 198, 400 is 2.

Therefore, GCD of numbers 748, 832, 198, 400 is 2

Given Input Data is 748, 832, 198, 400

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 198 is 2 x 3 x 3 x 11

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(748, 832) = 155584

GCD(748, 832) = ( 748 x 832 ) / 155584

GCD(748, 832) = 622336 / 155584

GCD(748, 832) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 198

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

LCM(4, 198) = 396

GCD(4, 198) = ( 4 x 198 ) / 396

GCD(4, 198) = 792 / 396

GCD(4, 198) = 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 748, 832, 198, 400 is 2

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1. What is the GCD of 748, 832, 198, 400?

GCD of 748, 832, 198, 400 is 2

2. Where do I get the detailed procedure to find GCD of 748, 832, 198, 400?

You can find a detailed procedure to find GCD of 748, 832, 198, 400 on our page.

3. How to find GCD of 748, 832, 198, 400 on a calculator?

You can find the GCD of 748, 832, 198, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.