GCD of 750, 184, 842, 528 Calculator

Given Input numbers are 750, 184, 842, 528

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 750, 184, 842, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 184, 842, 528 is 2.

Therefore, GCD of numbers 750, 184, 842, 528 is 2

Given Input Data is 750, 184, 842, 528

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 842 is 2 x 421

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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(750, 184) = 69000

GCD(750, 184) = ( 750 x 184 ) / 69000

GCD(750, 184) = 138000 / 69000

GCD(750, 184) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 842

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

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

GCD(2, 842) = 1684 / 842

GCD(2, 842) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 528

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

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

GCD(2, 528) = 1056 / 528

GCD(2, 528) = 2

GCD of 750, 184, 842, 528 is 2

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1. What is the GCD of 750, 184, 842, 528?

GCD of 750, 184, 842, 528 is 2

2. Where do I get the detailed procedure to find GCD of 750, 184, 842, 528?

You can find a detailed procedure to find GCD of 750, 184, 842, 528 on our page.

3. How to find GCD of 750, 184, 842, 528 on a calculator?

You can find the GCD of 750, 184, 842, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.