Greatest Common Factor of 4943/708, 3647/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4943/708, 3647/978

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 4943/708,3647/978

Given fractions are 4943/708,3647/978

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 4943,3647

Greatest Common Factor of Numerators i.e. GCF of 4943,3647 is 1 .

LCM of Denominators means LCM of 708,978 as per the given fractions.

LCM of 708,978 is 115404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4943,3647

GCF of Fractions 4943/708,3647/978 is 1/115404

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

Greatest Common Factor of 4943,3647 By Matching Biggest Common Factor Method

Greatest Common Factor of 4943,3647 By Matching Biggest Common Factor Method

Factors of 4943

List of positive integer factors of 4943 that divides 4943 without a remainder.

1,4943

Factors of 3647

List of positive integer factors of 3647 that divides 3647 without a remainder.

1,7,521,3647

Greatest Common Factor

We found the factors 4943,3647 . The biggest common factor number is the GCF number.
So the greatest common factor 4943,3647 is 1.

Lets's calculate LCM of 708,978

2 708, 978
3 354, 489
118, 163

∴ So the LCM of the given numbers is 2 x 3 x 118 x 163 = 115404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115404

Therefore, the GCF of Fractions 4943/708,3647/978 is 1/115404

Least Common Multiple of 708,978 with GCF Formula

Least Common Multiple of 708,978 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 708,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,978) = 6

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

GCF(708,978) x common factors =6 x 1 = 6

LCM(708,978) = ( 708 × 978 ) / 6

LCM(708,978) = 692424 / 6

LCM(708,978) = 115404


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 4943/708, 3647/978

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 4943/708, 3647/978?

Answer: GCF of Numerators as per given numbers 4943/708, 3647/978 is

GCF of Numerators i.e. for 4943,3647 is 1

LCM of denominators i.e. for 708,978 is 115404.

Thus, GCF of Fractions is 1/115404.Finally, GCF of Fractions for 4943/708, 3647/978 is 1/115404.