GCD of 944, 100, 33, 749 Calculator

Given Input numbers are 944, 100, 33, 749

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

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 944, 100, 33, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 100, 33, 749 is 1.

Therefore, GCD of numbers 944, 100, 33, 749 is 1

Given Input Data is 944, 100, 33, 749

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

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 33 is 3 x 11

Prime Factorization of 749 is 7 x 107

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(944, 100) = 23600

GCD(944, 100) = ( 944 x 100 ) / 23600

GCD(944, 100) = 94400 / 23600

GCD(944, 100) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 33

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

LCM(4, 33) = 132

GCD(4, 33) = ( 4 x 33 ) / 132

GCD(4, 33) = 132 / 132

GCD(4, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 944, 100, 33, 749 is 1

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• GCD of 245, 210, 21, 961
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1. What is the GCD of 944, 100, 33, 749?

GCD of 944, 100, 33, 749 is 1

2. Where do I get the detailed procedure to find GCD of 944, 100, 33, 749?

You can find a detailed procedure to find GCD of 944, 100, 33, 749 on our page.

3. How to find GCD of 944, 100, 33, 749 on a calculator?

You can find the GCD of 944, 100, 33, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.