Where do I get the detailed procedure to find GCD of 378, 144, 942?

You can find a detailed procedure to find GCD of 378, 144, 942 on our page.

How to find GCD of 378, 144, 942 on a calculator?

You can find the GCD of 378, 144, 942 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 378, 144, 942 Calculator

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

Online GCD Calculator is useful to find the GCD of 378, 144, 942 quickly. Get the easiest ways to solve the greatest common divisor of 378, 144, 942 i.e 6 in different methods as follows.

How to Find GCD of Numbers 378, 144, 942 with Factoring?

Given Input numbers are 378, 144, 942

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (378, 144, 942) = 6.

Find GCD of 378, 144, 942 using Prime Factorization

Given numbers are 378, 144, 942

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 378, 144, 942 is 6.

Steps to Calculate GCD of 378, 144, 942 using LCM Formula

Given numbers are 378, 144, 942

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

Apply this formula for all numbers.

Step1:

LCM(378, 144) = 3024

GCD(378, 144) = ( 378 x 144 ) / 3024

= 378 / 144

= 378

Step2:

LCM(18, 942) = 2826

GCD(18, 942) = ( 18 x 942 ) / 2826

= 18 / 942

= 18

So, Greatest Common Divisor of 378, 144, 942 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 378, 144, 942

Given numbers are 378, 144, 942
The greatest common divisor of numbers 378, 144, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 144, 942 is 6.

FAQs on GCD of 378, 144, 942 Calculator

1. What is the GCD of 378, 144, 942?

GCD of given numbers 378, 144, 942 is 6

2. How to calculate the greatest common divisor of 378, 144, 942?

We can find the highest common divisor of 378, 144, 942 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 378, 144, 942 i.e 6.

3. How can I use the GCD of 378, 144, 942Calculator?

Out the numbers 378, 144, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.