GCD of 232, 396, 292, 460 Calculator

Given Input numbers are 232, 396, 292, 460

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

Divisors of 232

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

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

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

Greatest Common Divisior

We found the divisors of 232, 396, 292, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 396, 292, 460 is 4.

Therefore, GCD of numbers 232, 396, 292, 460 is 4

Given Input Data is 232, 396, 292, 460

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

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 292 is 2 x 2 x 73

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

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(232, 396) = 22968

GCD(232, 396) = ( 232 x 396 ) / 22968

GCD(232, 396) = 91872 / 22968

GCD(232, 396) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 292

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

LCM(4, 292) = 292

GCD(4, 292) = ( 4 x 292 ) / 292

GCD(4, 292) = 1168 / 292

GCD(4, 292) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 460

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

LCM(4, 460) = 460

GCD(4, 460) = ( 4 x 460 ) / 460

GCD(4, 460) = 1840 / 460

GCD(4, 460) = 4

GCD of 232, 396, 292, 460 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 914, 113, 892
• GCD of 739, 643, 619, 859
• GCD of 219, 351, 906, 461
• GCD of 171, 241, 205, 883
• GCD of 885, 915, 708, 210

1. What is the GCD of 232, 396, 292, 460?

GCD of 232, 396, 292, 460 is 4

2. Where do I get the detailed procedure to find GCD of 232, 396, 292, 460?

You can find a detailed procedure to find GCD of 232, 396, 292, 460 on our page.

3. How to find GCD of 232, 396, 292, 460 on a calculator?

You can find the GCD of 232, 396, 292, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.