GCD of 101, 964, 44, 306 Calculator

Given Input numbers are 101, 964, 44, 306

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 101, 964, 44, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 964, 44, 306 is 1.

Therefore, GCD of numbers 101, 964, 44, 306 is 1

Given Input Data is 101, 964, 44, 306

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

Prime Factorization of 101 is 101

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 306 is 2 x 3 x 3 x 17

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(101, 964) = 97364

GCD(101, 964) = ( 101 x 964 ) / 97364

GCD(101, 964) = 97364 / 97364

GCD(101, 964) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 101, 964, 44, 306 is 1

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• GCD of 908, 197, 35, 589
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1. What is the GCD of 101, 964, 44, 306?

GCD of 101, 964, 44, 306 is 1

2. Where do I get the detailed procedure to find GCD of 101, 964, 44, 306?

You can find a detailed procedure to find GCD of 101, 964, 44, 306 on our page.

3. How to find GCD of 101, 964, 44, 306 on a calculator?

You can find the GCD of 101, 964, 44, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.