Greatest Common Factor of 104/40, 408/10, 856/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 104/40, 408/10, 856/270

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 104/40,408/10,856/270

Given fractions are 104/40,408/10,856/270

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 104,408,856

Greatest Common Factor of Numerators i.e. GCF of 104,408,856 is 8 .

LCM of Denominators means LCM of 40,10,270 as per the given fractions.

LCM of 40,10,270 is 1080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 104,408,856

GCF of Fractions 104/40,408/10,856/270 is 8/1080

2 104, 408, 856
2 52, 204, 428
2 26, 102, 214
13, 51, 107

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 104,408,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,408,856 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 104,408,856 . The biggest common factor number is the GCF number.
So the greatest common factor 104,408,856 is 8.

Lets's calculate LCM of 40,10,270

2 40, 10, 270
5 20, 5, 135
4, 1, 27

∴ So the LCM of the given numbers is 2 x 5 x 4 x 1 x 27 = 1080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1080

Therefore, the GCF of Fractions 104/40,408/10,856/270 is 8/1080

Least Common Multiple of 40,10,270 with GCF Formula

Least Common Multiple of 40,10,270 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 40,10,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,10,270) = 10

common factors(in case of two or more numbers have common factors) = 10

GCF(40,10,270) x common factors =10 x 10 = 100

LCM(40,10,270) = ( 40 × 10 × 270 ) / 100

LCM(40,10,270) = 108000 / 100

LCM(40,10,270) = 1080


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 104/40, 408/10, 856/270

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 104/40, 408/10, 856/270?

Answer: GCF of Numerators as per given numbers 104/40, 408/10, 856/270 is

GCF of Numerators i.e. for 104,408,856 is 8

LCM of denominators i.e. for 40,10,270 is 1080.

Thus, GCF of Fractions is 8/1080.Finally, GCF of Fractions for 104/40, 408/10, 856/270 is 8/1080.