GCD of 750, 256, 424, 652 Calculator

Given Input numbers are 750, 256, 424, 652

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 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 750, 256, 424, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 256, 424, 652 is 2.

Therefore, GCD of numbers 750, 256, 424, 652 is 2

Given Input Data is 750, 256, 424, 652

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 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 652 is 2 x 2 x 163

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, 256) = 96000

GCD(750, 256) = ( 750 x 256 ) / 96000

GCD(750, 256) = 192000 / 96000

GCD(750, 256) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 424

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

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

GCD(2, 424) = 848 / 424

GCD(2, 424) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 652

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

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

GCD(2, 652) = 1304 / 652

GCD(2, 652) = 2

GCD of 750, 256, 424, 652 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 913, 303, 707
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• GCD of 739, 266, 525, 677
• GCD of 421, 837, 913, 321
• GCD of 833, 328, 117, 506

1. What is the GCD of 750, 256, 424, 652?

GCD of 750, 256, 424, 652 is 2

2. Where do I get the detailed procedure to find GCD of 750, 256, 424, 652?

You can find a detailed procedure to find GCD of 750, 256, 424, 652 on our page.

3. How to find GCD of 750, 256, 424, 652 on a calculator?

You can find the GCD of 750, 256, 424, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.