GCD of 748, 828, 52, 430 Calculator

Given Input numbers are 748, 828, 52, 430

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 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Greatest Common Divisior

We found the divisors of 748, 828, 52, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 828, 52, 430 is 2.

Therefore, GCD of numbers 748, 828, 52, 430 is 2

Given Input Data is 748, 828, 52, 430

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 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 430 is 2 x 5 x 43

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 828) = 154836

GCD(748, 828) = ( 748 x 828 ) / 154836

GCD(748, 828) = 619344 / 154836

GCD(748, 828) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

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

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 430

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

LCM(4, 430) = 860

GCD(4, 430) = ( 4 x 430 ) / 860

GCD(4, 430) = 1720 / 860

GCD(4, 430) = 2

GCD of 748, 828, 52, 430 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 538, 98, 974
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• GCD of 433, 119, 23, 279
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• GCD of 441, 865, 81, 887

1. What is the GCD of 748, 828, 52, 430?

GCD of 748, 828, 52, 430 is 2

2. Where do I get the detailed procedure to find GCD of 748, 828, 52, 430?

You can find a detailed procedure to find GCD of 748, 828, 52, 430 on our page.

3. How to find GCD of 748, 828, 52, 430 on a calculator?

You can find the GCD of 748, 828, 52, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.