GCD of 510, 472, 46, 112 Calculator

Given Input numbers are 510, 472, 46, 112

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 510, 472, 46, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 472, 46, 112 is 2.

Therefore, GCD of numbers 510, 472, 46, 112 is 2

Given Input Data is 510, 472, 46, 112

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 46 is 2 x 23

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(510, 472) = 120360

GCD(510, 472) = ( 510 x 472 ) / 120360

GCD(510, 472) = 240720 / 120360

GCD(510, 472) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 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 510, 472, 46, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 862, 55, 912
• GCD of 888, 792, 99, 617
• GCD of 288, 152, 69, 935
• GCD of 563, 106, 45, 806
• GCD of 753, 416, 16, 254

1. What is the GCD of 510, 472, 46, 112?

GCD of 510, 472, 46, 112 is 2

2. Where do I get the detailed procedure to find GCD of 510, 472, 46, 112?

You can find a detailed procedure to find GCD of 510, 472, 46, 112 on our page.

3. How to find GCD of 510, 472, 46, 112 on a calculator?

You can find the GCD of 510, 472, 46, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.