GCD of 716, 412, 732, 198 Calculator

Given Input numbers are 716, 412, 732, 198

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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 716, 412, 732, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 412, 732, 198 is 2.

Therefore, GCD of numbers 716, 412, 732, 198 is 2

Given Input Data is 716, 412, 732, 198

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 732 is 2 x 2 x 3 x 61

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(716, 412) = 73748

GCD(716, 412) = ( 716 x 412 ) / 73748

GCD(716, 412) = 294992 / 73748

GCD(716, 412) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 732

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

LCM(4, 732) = 732

GCD(4, 732) = ( 4 x 732 ) / 732

GCD(4, 732) = 2928 / 732

GCD(4, 732) = 4

Step3:

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

GCD of 716, 412, 732, 198 is 2

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• GCD of 372, 796, 510, 356
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• GCD of 611, 984, 952, 496

1. What is the GCD of 716, 412, 732, 198?

GCD of 716, 412, 732, 198 is 2

2. Where do I get the detailed procedure to find GCD of 716, 412, 732, 198?

You can find a detailed procedure to find GCD of 716, 412, 732, 198 on our page.

3. How to find GCD of 716, 412, 732, 198 on a calculator?

You can find the GCD of 716, 412, 732, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.