Greatest Common Factor of 48/471, 39/593, 194/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/471, 39/593, 194/980

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 48/471,39/593,194/980

Given fractions are 48/471,39/593,194/980

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 48,39,194

Greatest Common Factor of Numerators i.e. GCF of 48,39,194 is 1 .

LCM of Denominators means LCM of 471,593,980 as per the given fractions.

LCM of 471,593,980 is 273716940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,39,194

GCF of Fractions 48/471,39/593,194/980 is 1/273716940

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

Greatest Common Factor of 48,39,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,39,194 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 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 48,39,194 . The biggest common factor number is the GCF number.
So the greatest common factor 48,39,194 is 1.

Lets's calculate LCM of 471,593,980

Given numbers has no common factors except 1. So, there LCM is their product i.e 273716940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273716940

Therefore, the GCF of Fractions 48/471,39/593,194/980 is 1/273716940

Least Common Multiple of 471,593,980 with GCF Formula

Least Common Multiple of 471,593,980 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 471,593,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(471,593,980) = 1

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

GCF(471,593,980) x common factors =1 x 1 = 1

LCM(471,593,980) = ( 471 × 593 × 980 ) / 1

LCM(471,593,980) = 273716940 / 1

LCM(471,593,980) = 273716940


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 48/471, 39/593, 194/980

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 48/471, 39/593, 194/980?

Answer: GCF of Numerators as per given numbers 48/471, 39/593, 194/980 is

GCF of Numerators i.e. for 48,39,194 is 1

LCM of denominators i.e. for 471,593,980 is 273716940.

Thus, GCF of Fractions is 1/273716940.Finally, GCF of Fractions for 48/471, 39/593, 194/980 is 1/273716940.