Greatest Common Factor of 478/884, 280/348, 785/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 478/884, 280/348, 785/912

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 478/884,280/348,785/912

Given fractions are 478/884,280/348,785/912

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 478,280,785

Greatest Common Factor of Numerators i.e. GCF of 478,280,785 is 1 .

LCM of Denominators means LCM of 884,348,912 as per the given fractions.

LCM of 884,348,912 is 5845008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 478,280,785

GCF of Fractions 478/884,280/348,785/912 is 1/5845008

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 478,280,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,280,785 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors 478,280,785 . The biggest common factor number is the GCF number.
So the greatest common factor 478,280,785 is 1.

Lets's calculate LCM of 884,348,912

2 884, 348, 912
2 442, 174, 456
3 221, 87, 228
221, 29, 76

∴ So the LCM of the given numbers is 2 x 2 x 3 x 221 x 29 x 76 = 5845008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5845008

Therefore, the GCF of Fractions 478/884,280/348,785/912 is 1/5845008

Least Common Multiple of 884,348,912 with GCF Formula

Least Common Multiple of 884,348,912 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 884,348,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,348,912) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(884,348,912) x common factors =4 x 12 = 48

LCM(884,348,912) = ( 884 × 348 × 912 ) / 48

LCM(884,348,912) = 280560384 / 48

LCM(884,348,912) = 5845008


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 478/884, 280/348, 785/912

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 478/884, 280/348, 785/912?

Answer: GCF of Numerators as per given numbers 478/884, 280/348, 785/912 is

GCF of Numerators i.e. for 478,280,785 is 1

LCM of denominators i.e. for 884,348,912 is 5845008.

Thus, GCF of Fractions is 1/5845008.Finally, GCF of Fractions for 478/884, 280/348, 785/912 is 1/5845008.