Greatest Common Factor of 173/48, 294/4540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 173/48, 294/4540

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 173/48,294/4540

Given fractions are 173/48,294/4540

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 173,294

Greatest Common Factor of Numerators i.e. GCF of 173,294 is 1 .

LCM of Denominators means LCM of 48,4540 as per the given fractions.

LCM of 48,4540 is 54480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 173,294

GCF of Fractions 173/48,294/4540 is 1/54480

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

Greatest Common Factor of 173,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,294 By Matching Biggest Common Factor Method

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 173,294 . The biggest common factor number is the GCF number.
So the greatest common factor 173,294 is 1.

Lets's calculate LCM of 48,4540

2 48, 4540
2 24, 2270
12, 1135

∴ So the LCM of the given numbers is 2 x 2 x 12 x 1135 = 54480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54480

Therefore, the GCF of Fractions 173/48,294/4540 is 1/54480

Least Common Multiple of 48,4540 with GCF Formula

Least Common Multiple of 48,4540 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 48,4540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,4540) = 4

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

GCF(48,4540) x common factors =4 x 1 = 4

LCM(48,4540) = ( 48 × 4540 ) / 4

LCM(48,4540) = 217920 / 4

LCM(48,4540) = 54480


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 173/48, 294/4540

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 173/48, 294/4540?

Answer: GCF of Numerators as per given numbers 173/48, 294/4540 is

GCF of Numerators i.e. for 173,294 is 1

LCM of denominators i.e. for 48,4540 is 54480.

Thus, GCF of Fractions is 1/54480.Finally, GCF of Fractions for 173/48, 294/4540 is 1/54480.