GCD of 432, 702, 99, 308 Calculator

Given Input numbers are 432, 702, 99, 308

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 432, 702, 99, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 702, 99, 308 is 1.

Therefore, GCD of numbers 432, 702, 99, 308 is 1

Given Input Data is 432, 702, 99, 308

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 308 is 2 x 2 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

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(432, 702) = 5616

GCD(432, 702) = ( 432 x 702 ) / 5616

GCD(432, 702) = 303264 / 5616

GCD(432, 702) = 54

Step2:

Here we consider the GCD from the above i.e. 54 as first number and the next as 99

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

LCM(54, 99) = 594

GCD(54, 99) = ( 54 x 99 ) / 594

GCD(54, 99) = 5346 / 594

GCD(54, 99) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 308

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

LCM(9, 308) = 2772

GCD(9, 308) = ( 9 x 308 ) / 2772

GCD(9, 308) = 2772 / 2772

GCD(9, 308) = 1

GCD of 432, 702, 99, 308 is 1

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• GCD of 387, 566, 96, 846
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1. What is the GCD of 432, 702, 99, 308?

GCD of 432, 702, 99, 308 is 1

2. Where do I get the detailed procedure to find GCD of 432, 702, 99, 308?

You can find a detailed procedure to find GCD of 432, 702, 99, 308 on our page.

3. How to find GCD of 432, 702, 99, 308 on a calculator?

You can find the GCD of 432, 702, 99, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.