GCD of 74, 78, 40 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 74, 78, 40 i.e. 2 largest integer that divides all the numbers equally.

GCD of 74, 78, 40 is 2

GCD(74, 78, 40) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 74, 78, 40 is 2

GCD(74, 78, 40) = 2

GCD of 74,78,40 Calculator

GCDof 74,78,40 is 2

Given Input numbers are 74, 78, 40

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Greatest Common Divisior

We found the divisors of 74, 78, 40 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 78, 40 is 2.

Therefore, GCD of numbers 74, 78, 40 is 2

Finding GCD of 74, 78, 40 using Prime Factorization

Given Input Data is 74, 78, 40

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 74 is 2 x 37

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 40 is 2 x 2 x 2 x 5

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 74, 78, 40 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(74, 78) = 2886

GCD(74, 78) = ( 74 x 78 ) / 2886

GCD(74, 78) = 5772 / 2886

GCD(74, 78) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

GCD of 74, 78, 40 is 2

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 74, 78, 40

1. What is the GCD of 74, 78, 40?

GCD of 74, 78, 40 is 2

2. Where do I get the detailed procedure to find GCD of 74, 78, 40?

You can find a detailed procedure to find GCD of 74, 78, 40 on our page.

3. How to find GCD of 74, 78, 40 on a calculator?

You can find the GCD of 74, 78, 40 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.