Greatest Common Factor of 548/46, 274/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 548/46, 274/193

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 548/46,274/193

Given fractions are 548/46,274/193

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 548,274

Greatest Common Factor of Numerators i.e. GCF of 548,274 is 274 .

LCM of Denominators means LCM of 46,193 as per the given fractions.

LCM of 46,193 is 8878 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 548,274

GCF of Fractions 548/46,274/193 is 274/8878

2 548, 274
137 274, 137
2, 1

∴ So the GCF of the given numbers is 2 x 137 = 274

Greatest Common Factor of 548,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,274 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 548,274 . The biggest common factor number is the GCF number.
So the greatest common factor 548,274 is 274.

Lets's calculate LCM of 46,193

Given numbers has no common factors except 1. So, there LCM is their product i.e 8878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 274/8878

Therefore, the GCF of Fractions 548/46,274/193 is 274/8878

Least Common Multiple of 46,193 with GCF Formula

Least Common Multiple of 46,193 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 46,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,193) = 1

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

GCF(46,193) x common factors =1 x 1 = 1

LCM(46,193) = ( 46 × 193 ) / 1

LCM(46,193) = 8878 / 1

LCM(46,193) = 8878


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 548/46, 274/193

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 548/46, 274/193?

Answer: GCF of Numerators as per given numbers 548/46, 274/193 is

GCF of Numerators i.e. for 548,274 is 274

LCM of denominators i.e. for 46,193 is 8878.

Thus, GCF of Fractions is 274/8878.Finally, GCF of Fractions for 548/46, 274/193 is 274/8878.