Where do I get the detailed procedure to find GCD of 748, 978, 740?

You can find a detailed procedure to find GCD of 748, 978, 740 on our page.

How to find GCD of 748, 978, 740 on a calculator?

You can find the GCD of 748, 978, 740 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 748, 978, 740 Calculator

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

Online GCD Calculator is useful to find the GCD of 748, 978, 740 quickly. Get the easiest ways to solve the greatest common divisor of 748, 978, 740 i.e 2 in different methods as follows.

How to Find GCD of Numbers 748, 978, 740 with Factoring?

Given Input numbers are 748, 978, 740

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

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 978 :

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

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

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

GCD of numbers is the greatest common divisor

So, the GCD (748, 978, 740) = 2.

Find GCD of 748, 978, 740 using Prime Factorization

Given numbers are 748, 978, 740

The list of prime factors of all numbers are

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

Prime factors of 978 are 2 x 3 x 163

Prime factors of 740 are 2 x 2 x 5 x 37

The highest common occurrence is 2¹

Therefore, GCD of 748, 978, 740 is 2.

Steps to Calculate GCD of 748, 978, 740 using LCM Formula

Given numbers are 748, 978, 740

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

Apply this formula for all numbers.

Step1:

LCM(748, 978) = 365772

GCD(748, 978) = ( 748 x 978 ) / 365772

= 748 / 978

= 748

Step2:

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

= 2 / 740

= 2

So, Greatest Common Divisor of 748, 978, 740 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 748, 978, 740

Given numbers are 748, 978, 740
The greatest common divisor of numbers 748, 978, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 978, 740 is 2.

FAQs on GCD of 748, 978, 740 Calculator

1. What is the GCD of 748, 978, 740?

GCD of given numbers 748, 978, 740 is 2

2. How to calculate the greatest common divisor of 748, 978, 740?

We can find the highest common divisor of 748, 978, 740 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 748, 978, 740 i.e 2.

3. How can I use the GCD of 748, 978, 740Calculator?

Out the numbers 748, 978, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.