GCD of 748, 824, 75, 833 Calculator

Given Input numbers are 748, 824, 75, 833

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 833

List of positive integer divisors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

Greatest Common Divisior

We found the divisors of 748, 824, 75, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 824, 75, 833 is 1.

Therefore, GCD of numbers 748, 824, 75, 833 is 1

Given Input Data is 748, 824, 75, 833

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 833 is 7 x 7 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(748, 824) = 154088

GCD(748, 824) = ( 748 x 824 ) / 154088

GCD(748, 824) = 616352 / 154088

GCD(748, 824) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 75

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

LCM(4, 75) = 300

GCD(4, 75) = ( 4 x 75 ) / 300

GCD(4, 75) = 300 / 300

GCD(4, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 833

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

LCM(1, 833) = 833

GCD(1, 833) = ( 1 x 833 ) / 833

GCD(1, 833) = 833 / 833

GCD(1, 833) = 1

GCD of 748, 824, 75, 833 is 1

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1. What is the GCD of 748, 824, 75, 833?

GCD of 748, 824, 75, 833 is 1

2. Where do I get the detailed procedure to find GCD of 748, 824, 75, 833?

You can find a detailed procedure to find GCD of 748, 824, 75, 833 on our page.

3. How to find GCD of 748, 824, 75, 833 on a calculator?

You can find the GCD of 748, 824, 75, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.