GCD of 232, 464, 22, 748 Calculator

Given Input numbers are 232, 464, 22, 748

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 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 232, 464, 22, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 464, 22, 748 is 2.

Therefore, GCD of numbers 232, 464, 22, 748 is 2

Given Input Data is 232, 464, 22, 748

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 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 22 is 2 x 11

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(232, 464) = 464

GCD(232, 464) = ( 232 x 464 ) / 464

GCD(232, 464) = 107648 / 464

GCD(232, 464) = 232

Step2:

Here we consider the GCD from the above i.e. 232 as first number and the next as 22

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

LCM(232, 22) = 2552

GCD(232, 22) = ( 232 x 22 ) / 2552

GCD(232, 22) = 5104 / 2552

GCD(232, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

GCD of 232, 464, 22, 748 is 2

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1. What is the GCD of 232, 464, 22, 748?

GCD of 232, 464, 22, 748 is 2

2. Where do I get the detailed procedure to find GCD of 232, 464, 22, 748?

You can find a detailed procedure to find GCD of 232, 464, 22, 748 on our page.

3. How to find GCD of 232, 464, 22, 748 on a calculator?

You can find the GCD of 232, 464, 22, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.