GCD of 602, 424, 16, 112 Calculator

Given Input numbers are 602, 424, 16, 112

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

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

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 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 602, 424, 16, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 602, 424, 16, 112 is 2.

Therefore, GCD of numbers 602, 424, 16, 112 is 2

Given Input Data is 602, 424, 16, 112

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

Prime Factorization of 602 is 2 x 7 x 43

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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(602, 424) = 127624

GCD(602, 424) = ( 602 x 424 ) / 127624

GCD(602, 424) = 255248 / 127624

GCD(602, 424) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 112

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

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

GCD(2, 112) = 224 / 112

GCD(2, 112) = 2

GCD of 602, 424, 16, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 976, 63, 332
• GCD of 800, 502, 79, 168
• GCD of 913, 324, 94, 840
• GCD of 863, 651, 33, 914
• GCD of 125, 423, 86, 645

1. What is the GCD of 602, 424, 16, 112?

GCD of 602, 424, 16, 112 is 2

2. Where do I get the detailed procedure to find GCD of 602, 424, 16, 112?

You can find a detailed procedure to find GCD of 602, 424, 16, 112 on our page.

3. How to find GCD of 602, 424, 16, 112 on a calculator?

You can find the GCD of 602, 424, 16, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.