Where do I get the detailed procedure to find GCD of 238, 722, 472?

You can find a detailed procedure to find GCD of 238, 722, 472 on our page.

How to find GCD of 238, 722, 472 on a calculator?

You can find the GCD of 238, 722, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 238, 722, 472 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 238, 722, 472 quickly. Get the easiest ways to solve the greatest common divisor of 238, 722, 472 i.e 2 in different methods as follows.

How to Find GCD of Numbers 238, 722, 472 with Factoring?

Given Input numbers are 238, 722, 472

In the factoring method, we have to find the divisors of all numbers

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (238, 722, 472) = 2.

Find GCD of 238, 722, 472 using Prime Factorization

Given numbers are 238, 722, 472

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 722 are 2 x 19 x 19

Prime factors of 472 are 2 x 2 x 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 238, 722, 472 is 2.

Steps to Calculate GCD of 238, 722, 472 using LCM Formula

Given numbers are 238, 722, 472

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(238, 722) = 85918

GCD(238, 722) = ( 238 x 722 ) / 85918

= 238 / 722

= 238

Step2:

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

= 2 / 472

= 2

So, Greatest Common Divisor of 238, 722, 472 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 238, 722, 472

Given numbers are 238, 722, 472
The greatest common divisor of numbers 238, 722, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 722, 472 is 2.

FAQs on GCD of 238, 722, 472 Calculator

1. What is the GCD of 238, 722, 472?

GCD of given numbers 238, 722, 472 is 2

2. How to calculate the greatest common divisor of 238, 722, 472?

We can find the highest common divisor of 238, 722, 472 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 238, 722, 472 i.e 2.

3. How can I use the GCD of 238, 722, 472Calculator?

Out the numbers 238, 722, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.