GCD of 320, 750, 316, 198 Calculator

Given Input numbers are 320, 750, 316, 198

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

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

Greatest Common Divisior

We found the divisors of 320, 750, 316, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 750, 316, 198 is 2.

Therefore, GCD of numbers 320, 750, 316, 198 is 2

Given Input Data is 320, 750, 316, 198

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 316 is 2 x 2 x 79

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

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(320, 750) = 24000

GCD(320, 750) = ( 320 x 750 ) / 24000

GCD(320, 750) = 240000 / 24000

GCD(320, 750) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 316

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

LCM(10, 316) = 1580

GCD(10, 316) = ( 10 x 316 ) / 1580

GCD(10, 316) = 3160 / 1580

GCD(10, 316) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 198

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

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

GCD(2, 198) = 396 / 198

GCD(2, 198) = 2

GCD of 320, 750, 316, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 967, 390, 154
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• GCD of 411, 850, 692, 903

1. What is the GCD of 320, 750, 316, 198?

GCD of 320, 750, 316, 198 is 2

2. Where do I get the detailed procedure to find GCD of 320, 750, 316, 198?

You can find a detailed procedure to find GCD of 320, 750, 316, 198 on our page.

3. How to find GCD of 320, 750, 316, 198 on a calculator?

You can find the GCD of 320, 750, 316, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.