GCD of 909, 536, 916, 164 Calculator

Given Input numbers are 909, 536, 916, 164

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 164

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

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 909, 536, 916, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 536, 916, 164 is 1.

Therefore, GCD of numbers 909, 536, 916, 164 is 1

Given Input Data is 909, 536, 916, 164

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 164 is 2 x 2 x 41

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(909, 536) = 487224

GCD(909, 536) = ( 909 x 536 ) / 487224

GCD(909, 536) = 487224 / 487224

GCD(909, 536) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 909, 536, 916, 164 is 1

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• GCD of 539, 384, 828, 298
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• GCD of 565, 772, 140, 945

1. What is the GCD of 909, 536, 916, 164?

GCD of 909, 536, 916, 164 is 1

2. Where do I get the detailed procedure to find GCD of 909, 536, 916, 164?

You can find a detailed procedure to find GCD of 909, 536, 916, 164 on our page.

3. How to find GCD of 909, 536, 916, 164 on a calculator?

You can find the GCD of 909, 536, 916, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.