Greatest Common Factor of 406/78, 390/1384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 406/78, 390/1384

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 406/78,390/1384

Given fractions are 406/78,390/1384

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 406,390

Greatest Common Factor of Numerators i.e. GCF of 406,390 is 2 .

LCM of Denominators means LCM of 78,1384 as per the given fractions.

LCM of 78,1384 is 53976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 406,390

GCF of Fractions 406/78,390/1384 is 2/53976

2 406, 390
203, 195

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 406,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,390 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 406,390 . The biggest common factor number is the GCF number.
So the greatest common factor 406,390 is 2.

Lets's calculate LCM of 78,1384

2 78, 1384
39, 692

∴ So the LCM of the given numbers is 2 x 39 x 692 = 53976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53976

Therefore, the GCF of Fractions 406/78,390/1384 is 2/53976

Least Common Multiple of 78,1384 with GCF Formula

Least Common Multiple of 78,1384 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 78,1384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,1384) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(78,1384) x common factors =2 x 1 = 2

LCM(78,1384) = ( 78 × 1384 ) / 2

LCM(78,1384) = 107952 / 2

LCM(78,1384) = 53976


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 406/78, 390/1384

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 406/78, 390/1384?

Answer: GCF of Numerators as per given numbers 406/78, 390/1384 is

GCF of Numerators i.e. for 406,390 is 2

LCM of denominators i.e. for 78,1384 is 53976.

Thus, GCF of Fractions is 2/53976.Finally, GCF of Fractions for 406/78, 390/1384 is 2/53976.