GCD of 728, 280, 33, 948 Calculator

Given Input numbers are 728, 280, 33, 948

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 33

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

1, 3, 11, 33

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 728, 280, 33, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 280, 33, 948 is 1.

Therefore, GCD of numbers 728, 280, 33, 948 is 1

Given Input Data is 728, 280, 33, 948

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 33 is 3 x 11

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(728, 280) = 3640

GCD(728, 280) = ( 728 x 280 ) / 3640

GCD(728, 280) = 203840 / 3640

GCD(728, 280) = 56

Step2:

Here we consider the GCD from the above i.e. 56 as first number and the next as 33

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

LCM(56, 33) = 1848

GCD(56, 33) = ( 56 x 33 ) / 1848

GCD(56, 33) = 1848 / 1848

GCD(56, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

GCD of 728, 280, 33, 948 is 1

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• GCD of 366, 581, 76, 847
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• GCD of 487, 247, 79, 399

1. What is the GCD of 728, 280, 33, 948?

GCD of 728, 280, 33, 948 is 1

2. Where do I get the detailed procedure to find GCD of 728, 280, 33, 948?

You can find a detailed procedure to find GCD of 728, 280, 33, 948 on our page.

3. How to find GCD of 728, 280, 33, 948 on a calculator?

You can find the GCD of 728, 280, 33, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.