Where do I get the detailed procedure to find GCD of 414, 372, 748?

You can find a detailed procedure to find GCD of 414, 372, 748 on our page.

How to find GCD of 414, 372, 748 on a calculator?

You can find the GCD of 414, 372, 748 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 414, 372, 748 Calculator

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

Online GCD Calculator is useful to find the GCD of 414, 372, 748 quickly. Get the easiest ways to solve the greatest common divisor of 414, 372, 748 i.e 2 in different methods as follows.

How to Find GCD of Numbers 414, 372, 748 with Factoring?

Given Input numbers are 414, 372, 748

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (414, 372, 748) = 2.

Find GCD of 414, 372, 748 using Prime Factorization

Given numbers are 414, 372, 748

The list of prime factors of all numbers are

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 748 are 2 x 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 414, 372, 748 is 2.

Steps to Calculate GCD of 414, 372, 748 using LCM Formula

Given numbers are 414, 372, 748

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

Apply this formula for all numbers.

Step1:

LCM(414, 372) = 25668

GCD(414, 372) = ( 414 x 372 ) / 25668

= 414 / 372

= 414

Step2:

LCM(6, 748) = 2244

GCD(6, 748) = ( 6 x 748 ) / 2244

= 6 / 748

= 6

So, Greatest Common Divisor of 414, 372, 748 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 414, 372, 748

Given numbers are 414, 372, 748
The greatest common divisor of numbers 414, 372, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 372, 748 is 2.

FAQs on GCD of 414, 372, 748 Calculator

1. What is the GCD of 414, 372, 748?

GCD of given numbers 414, 372, 748 is 2

2. How to calculate the greatest common divisor of 414, 372, 748?

We can find the highest common divisor of 414, 372, 748 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 414, 372, 748 i.e 2.

3. How can I use the GCD of 414, 372, 748Calculator?

Out the numbers 414, 372, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.