GCD of 431, 198, 96, 507 Calculator

Given Input numbers are 431, 198, 96, 507

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

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

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 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 431, 198, 96, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 198, 96, 507 is 1.

Therefore, GCD of numbers 431, 198, 96, 507 is 1

Given Input Data is 431, 198, 96, 507

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

Prime Factorization of 431 is 431

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 507 is 3 x 13 x 13

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(431, 198) = 85338

GCD(431, 198) = ( 431 x 198 ) / 85338

GCD(431, 198) = 85338 / 85338

GCD(431, 198) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 431, 198, 96, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 603, 36, 612
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• GCD of 640, 950, 85, 569
• GCD of 669, 508, 12, 141
• GCD of 685, 250, 88, 618

1. What is the GCD of 431, 198, 96, 507?

GCD of 431, 198, 96, 507 is 1

2. Where do I get the detailed procedure to find GCD of 431, 198, 96, 507?

You can find a detailed procedure to find GCD of 431, 198, 96, 507 on our page.

3. How to find GCD of 431, 198, 96, 507 on a calculator?

You can find the GCD of 431, 198, 96, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.