Where do I get the detailed procedure to find GCD of 904, 748, 20?

You can find a detailed procedure to find GCD of 904, 748, 20 on our page.

How to find GCD of 904, 748, 20 on a calculator?

You can find the GCD of 904, 748, 20 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 904, 748, 20 Calculator

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

Online GCD Calculator is useful to find the GCD of 904, 748, 20 quickly. Get the easiest ways to solve the greatest common divisor of 904, 748, 20 i.e 4 in different methods as follows.

How to Find GCD of Numbers 904, 748, 20 with Factoring?

Given Input numbers are 904, 748, 20

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

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

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

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

GCD of numbers is the greatest common divisor

So, the GCD (904, 748, 20) = 4.

Find GCD of 904, 748, 20 using Prime Factorization

Given numbers are 904, 748, 20

The list of prime factors of all numbers are

Prime factors of 904 are 2 x 2 x 2 x 113

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

Prime factors of 20 are 2 x 2 x 5

The highest common occurrence is 2²

Therefore, GCD of 904, 748, 20 is 4.

Steps to Calculate GCD of 904, 748, 20 using LCM Formula

Given numbers are 904, 748, 20

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

Apply this formula for all numbers.

Step1:

LCM(904, 748) = 169048

GCD(904, 748) = ( 904 x 748 ) / 169048

= 904 / 748

= 904

Step2:

LCM(4, 20) = 20

GCD(4, 20) = ( 4 x 20 ) / 20

= 4 / 20

= 4

So, Greatest Common Divisor of 904, 748, 20 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 904, 748, 20

Given numbers are 904, 748, 20
The greatest common divisor of numbers 904, 748, 20 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 904, 748, 20 is 4.

FAQs on GCD of 904, 748, 20 Calculator

1. What is the GCD of 904, 748, 20?

GCD of given numbers 904, 748, 20 is 4

2. How to calculate the greatest common divisor of 904, 748, 20?

We can find the highest common divisor of 904, 748, 20 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 904, 748, 20 i.e 4.

3. How can I use the GCD of 904, 748, 20Calculator?

Out the numbers 904, 748, 20 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.