GCD of 48, 798, 441, 746 Calculator

Given Input numbers are 48, 798, 441, 746

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 48, 798, 441, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 798, 441, 746 is 1.

Therefore, GCD of numbers 48, 798, 441, 746 is 1

Given Input Data is 48, 798, 441, 746

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 746 is 2 x 373

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(48, 798) = 6384

GCD(48, 798) = ( 48 x 798 ) / 6384

GCD(48, 798) = 38304 / 6384

GCD(48, 798) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 441

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

LCM(6, 441) = 882

GCD(6, 441) = ( 6 x 441 ) / 882

GCD(6, 441) = 2646 / 882

GCD(6, 441) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 746

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

LCM(3, 746) = 2238

GCD(3, 746) = ( 3 x 746 ) / 2238

GCD(3, 746) = 2238 / 2238

GCD(3, 746) = 1

GCD of 48, 798, 441, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 127, 870, 971
• GCD of 11, 129, 885, 438
• GCD of 16, 560, 197, 747
• GCD of 32, 706, 513, 917
• GCD of 24, 724, 168, 319

1. What is the GCD of 48, 798, 441, 746?

GCD of 48, 798, 441, 746 is 1

2. Where do I get the detailed procedure to find GCD of 48, 798, 441, 746?

You can find a detailed procedure to find GCD of 48, 798, 441, 746 on our page.

3. How to find GCD of 48, 798, 441, 746 on a calculator?

You can find the GCD of 48, 798, 441, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.