GCD of 99, 360, 436, 397 Calculator

Given Input numbers are 99, 360, 436, 397

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

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 99, 360, 436, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 360, 436, 397 is 1.

Therefore, GCD of numbers 99, 360, 436, 397 is 1

Given Input Data is 99, 360, 436, 397

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 397 is 397

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(99, 360) = 3960

GCD(99, 360) = ( 99 x 360 ) / 3960

GCD(99, 360) = 35640 / 3960

GCD(99, 360) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 436

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

LCM(9, 436) = 3924

GCD(9, 436) = ( 9 x 436 ) / 3924

GCD(9, 436) = 3924 / 3924

GCD(9, 436) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 397

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

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

GCD(1, 397) = 397 / 397

GCD(1, 397) = 1

GCD of 99, 360, 436, 397 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 476, 659, 119
• GCD of 84, 286, 500, 429
• GCD of 58, 939, 608, 695
• GCD of 99, 693, 936, 995
• GCD of 94, 203, 947, 934

1. What is the GCD of 99, 360, 436, 397?

GCD of 99, 360, 436, 397 is 1

2. Where do I get the detailed procedure to find GCD of 99, 360, 436, 397?

You can find a detailed procedure to find GCD of 99, 360, 436, 397 on our page.

3. How to find GCD of 99, 360, 436, 397 on a calculator?

You can find the GCD of 99, 360, 436, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.