GCD of 432, 198, 77, 613 Calculator

Given Input numbers are 432, 198, 77, 613

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 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 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Greatest Common Divisior

We found the divisors of 432, 198, 77, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 198, 77, 613 is 1.

Therefore, GCD of numbers 432, 198, 77, 613 is 1

Given Input Data is 432, 198, 77, 613

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 198 is 2 x 3 x 3 x 11

Prime Factorization of 77 is 7 x 11

Prime Factorization of 613 is 613

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, 198) = 4752

GCD(432, 198) = ( 432 x 198 ) / 4752

GCD(432, 198) = 85536 / 4752

GCD(432, 198) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 77

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

LCM(18, 77) = 1386

GCD(18, 77) = ( 18 x 77 ) / 1386

GCD(18, 77) = 1386 / 1386

GCD(18, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 613

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

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

GCD(1, 613) = 613 / 613

GCD(1, 613) = 1

GCD of 432, 198, 77, 613 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 715, 92, 266
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• GCD of 445, 383, 73, 964
• GCD of 462, 997, 76, 631
• GCD of 386, 165, 29, 518

1. What is the GCD of 432, 198, 77, 613?

GCD of 432, 198, 77, 613 is 1

2. Where do I get the detailed procedure to find GCD of 432, 198, 77, 613?

You can find a detailed procedure to find GCD of 432, 198, 77, 613 on our page.

3. How to find GCD of 432, 198, 77, 613 on a calculator?

You can find the GCD of 432, 198, 77, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.