GCD of 99, 164, 356, 207 Calculator

Given Input numbers are 99, 164, 356, 207

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 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 99, 164, 356, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 164, 356, 207 is 1.

Therefore, GCD of numbers 99, 164, 356, 207 is 1

Given Input Data is 99, 164, 356, 207

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 164 is 2 x 2 x 41

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 207 is 3 x 3 x 23

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, 164) = 16236

GCD(99, 164) = ( 99 x 164 ) / 16236

GCD(99, 164) = 16236 / 16236

GCD(99, 164) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1

GCD of 99, 164, 356, 207 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 774, 479, 773
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• GCD of 10, 787, 301, 570

1. What is the GCD of 99, 164, 356, 207?

GCD of 99, 164, 356, 207 is 1

2. Where do I get the detailed procedure to find GCD of 99, 164, 356, 207?

You can find a detailed procedure to find GCD of 99, 164, 356, 207 on our page.

3. How to find GCD of 99, 164, 356, 207 on a calculator?

You can find the GCD of 99, 164, 356, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.