Greatest Common Factor of 48/682, 12/349, 480/853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/682, 12/349, 480/853

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 48/682,12/349,480/853

Given fractions are 48/682,12/349,480/853

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 48,12,480

Greatest Common Factor of Numerators i.e. GCF of 48,12,480 is 12 .

LCM of Denominators means LCM of 682,349,853 as per the given fractions.

LCM of 682,349,853 is 203029354 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,12,480

GCF of Fractions 48/682,12/349,480/853 is 12/203029354

2 48, 12, 480
2 24, 6, 240
3 12, 3, 120
4, 1, 40

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 48,12,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,12,480 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 48,12,480 . The biggest common factor number is the GCF number.
So the greatest common factor 48,12,480 is 12.

Lets's calculate LCM of 682,349,853

Given numbers has no common factors except 1. So, there LCM is their product i.e 203029354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/203029354

Therefore, the GCF of Fractions 48/682,12/349,480/853 is 12/203029354

Least Common Multiple of 682,349,853 with GCF Formula

Least Common Multiple of 682,349,853 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 682,349,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,349,853) = 1

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

GCF(682,349,853) x common factors =1 x 1 = 1

LCM(682,349,853) = ( 682 × 349 × 853 ) / 1

LCM(682,349,853) = 203029354 / 1

LCM(682,349,853) = 203029354


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 48/682, 12/349, 480/853

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 48/682, 12/349, 480/853?

Answer: GCF of Numerators as per given numbers 48/682, 12/349, 480/853 is

GCF of Numerators i.e. for 48,12,480 is 12

LCM of denominators i.e. for 682,349,853 is 203029354.

Thus, GCF of Fractions is 12/203029354.Finally, GCF of Fractions for 48/682, 12/349, 480/853 is 12/203029354.