Where do I get the detailed procedure to find GCD of 978, 138, 150?

You can find a detailed procedure to find GCD of 978, 138, 150 on our page.

How to find GCD of 978, 138, 150 on a calculator?

You can find the GCD of 978, 138, 150 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 978, 138, 150 Calculator

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

Online GCD Calculator is useful to find the GCD of 978, 138, 150 quickly. Get the easiest ways to solve the greatest common divisor of 978, 138, 150 i.e 6 in different methods as follows.

How to Find GCD of Numbers 978, 138, 150 with Factoring?

Given Input numbers are 978, 138, 150

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

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

GCD of numbers is the greatest common divisor

So, the GCD (978, 138, 150) = 6.

Find GCD of 978, 138, 150 using Prime Factorization

Given numbers are 978, 138, 150

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 138 are 2 x 3 x 23

Prime factors of 150 are 2 x 3 x 5 x 5

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 978, 138, 150 is 6.

Steps to Calculate GCD of 978, 138, 150 using LCM Formula

Given numbers are 978, 138, 150

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

Apply this formula for all numbers.

Step1:

LCM(978, 138) = 22494

GCD(978, 138) = ( 978 x 138 ) / 22494

= 978 / 138

= 978

Step2:

LCM(6, 150) = 150

GCD(6, 150) = ( 6 x 150 ) / 150

= 6 / 150

= 6

So, Greatest Common Divisor of 978, 138, 150 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 978, 138, 150

Given numbers are 978, 138, 150
The greatest common divisor of numbers 978, 138, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 138, 150 is 6.

FAQs on GCD of 978, 138, 150 Calculator

1. What is the GCD of 978, 138, 150?

GCD of given numbers 978, 138, 150 is 6

2. How to calculate the greatest common divisor of 978, 138, 150?

We can find the highest common divisor of 978, 138, 150 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 978, 138, 150 i.e 6.

3. How can I use the GCD of 978, 138, 150Calculator?

Out the numbers 978, 138, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.