GCD of 460, 492, 60, 232 Calculator

Given Input numbers are 460, 492, 60, 232

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 460, 492, 60, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 492, 60, 232 is 4.

Therefore, GCD of numbers 460, 492, 60, 232 is 4

Given Input Data is 460, 492, 60, 232

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 232 is 2 x 2 x 2 x 29

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(460, 492) = 56580

GCD(460, 492) = ( 460 x 492 ) / 56580

GCD(460, 492) = 226320 / 56580

GCD(460, 492) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 60

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

LCM(4, 60) = 60

GCD(4, 60) = ( 4 x 60 ) / 60

GCD(4, 60) = 240 / 60

GCD(4, 60) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 232

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

LCM(4, 232) = 232

GCD(4, 232) = ( 4 x 232 ) / 232

GCD(4, 232) = 928 / 232

GCD(4, 232) = 4

GCD of 460, 492, 60, 232 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 789, 11, 877
• GCD of 388, 829, 46, 608
• GCD of 845, 283, 78, 193
• GCD of 461, 494, 15, 215
• GCD of 356, 489, 44, 247

1. What is the GCD of 460, 492, 60, 232?

GCD of 460, 492, 60, 232 is 4

2. Where do I get the detailed procedure to find GCD of 460, 492, 60, 232?

You can find a detailed procedure to find GCD of 460, 492, 60, 232 on our page.

3. How to find GCD of 460, 492, 60, 232 on a calculator?

You can find the GCD of 460, 492, 60, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.