Where do I get the detailed procedure to find GCD of 978, 960, 300?

You can find a detailed procedure to find GCD of 978, 960, 300 on our page.

How to find GCD of 978, 960, 300 on a calculator?

You can find the GCD of 978, 960, 300 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, 960, 300 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, 960, 300 quickly. Get the easiest ways to solve the greatest common divisor of 978, 960, 300 i.e 6 in different methods as follows.

How to Find GCD of Numbers 978, 960, 300 with Factoring?

Given Input numbers are 978, 960, 300

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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (978, 960, 300) = 6.

Find GCD of 978, 960, 300 using Prime Factorization

Given numbers are 978, 960, 300

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 978, 960, 300 is 6.

Steps to Calculate GCD of 978, 960, 300 using LCM Formula

Given numbers are 978, 960, 300

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

Apply this formula for all numbers.

Step1:

LCM(978, 960) = 156480

GCD(978, 960) = ( 978 x 960 ) / 156480

= 978 / 960

= 978

Step2:

LCM(6, 300) = 300

GCD(6, 300) = ( 6 x 300 ) / 300

= 6 / 300

= 6

So, Greatest Common Divisor of 978, 960, 300 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 978, 960, 300

Given numbers are 978, 960, 300
The greatest common divisor of numbers 978, 960, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 960, 300 is 6.

FAQs on GCD of 978, 960, 300 Calculator

1. What is the GCD of 978, 960, 300?

GCD of given numbers 978, 960, 300 is 6

2. How to calculate the greatest common divisor of 978, 960, 300?

We can find the highest common divisor of 978, 960, 300 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, 960, 300 i.e 6.

3. How can I use the GCD of 978, 960, 300Calculator?

Out the numbers 978, 960, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.