GCD of 100, 446, 24, 752 Calculator

Given Input numbers are 100, 446, 24, 752

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 100, 446, 24, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 446, 24, 752 is 2.

Therefore, GCD of numbers 100, 446, 24, 752 is 2

Given Input Data is 100, 446, 24, 752

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 446 is 2 x 223

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(100, 446) = 22300

GCD(100, 446) = ( 100 x 446 ) / 22300

GCD(100, 446) = 44600 / 22300

GCD(100, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 752

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

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

GCD(2, 752) = 1504 / 752

GCD(2, 752) = 2

GCD of 100, 446, 24, 752 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 947, 28, 594
• GCD of 447, 184, 62, 189
• GCD of 569, 816, 95, 616
• GCD of 452, 782, 40, 553
• GCD of 753, 514, 73, 555

1. What is the GCD of 100, 446, 24, 752?

GCD of 100, 446, 24, 752 is 2

2. Where do I get the detailed procedure to find GCD of 100, 446, 24, 752?

You can find a detailed procedure to find GCD of 100, 446, 24, 752 on our page.

3. How to find GCD of 100, 446, 24, 752 on a calculator?

You can find the GCD of 100, 446, 24, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.