Greatest Common Factor of 7968/473, 5147/2835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7968/473, 5147/2835

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 7968/473,5147/2835

Given fractions are 7968/473,5147/2835

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 7968,5147

Greatest Common Factor of Numerators i.e. GCF of 7968,5147 is 1 .

LCM of Denominators means LCM of 473,2835 as per the given fractions.

LCM of 473,2835 is 1340955 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7968,5147

GCF of Fractions 7968/473,5147/2835 is 1/1340955

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

Greatest Common Factor of 7968,5147 By Matching Biggest Common Factor Method

Greatest Common Factor of 7968,5147 By Matching Biggest Common Factor Method

Factors of 7968

List of positive integer factors of 7968 that divides 7968 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,83,96,166,249,332,498,664,996,1328,1992,2656,3984,7968

Factors of 5147

List of positive integer factors of 5147 that divides 5147 without a remainder.

1,5147

Greatest Common Factor

We found the factors 7968,5147 . The biggest common factor number is the GCF number.
So the greatest common factor 7968,5147 is 1.

Lets's calculate LCM of 473,2835

Given numbers has no common factors except 1. So, there LCM is their product i.e 1340955

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1340955

Therefore, the GCF of Fractions 7968/473,5147/2835 is 1/1340955

Least Common Multiple of 473,2835 with GCF Formula

Least Common Multiple of 473,2835 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 473,2835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,2835) = 1

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

GCF(473,2835) x common factors =1 x 1 = 1

LCM(473,2835) = ( 473 × 2835 ) / 1

LCM(473,2835) = 1340955 / 1

LCM(473,2835) = 1340955


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 7968/473, 5147/2835

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 7968/473, 5147/2835?

Answer: GCF of Numerators as per given numbers 7968/473, 5147/2835 is

GCF of Numerators i.e. for 7968,5147 is 1

LCM of denominators i.e. for 473,2835 is 1340955.

Thus, GCF of Fractions is 1/1340955.Finally, GCF of Fractions for 7968/473, 5147/2835 is 1/1340955.