Greatest Common Factor of 558/958, 198/380, 846/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 558/958, 198/380, 846/263

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 558/958,198/380,846/263

Given fractions are 558/958,198/380,846/263

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 558,198,846

Greatest Common Factor of Numerators i.e. GCF of 558,198,846 is 18 .

LCM of Denominators means LCM of 958,380,263 as per the given fractions.

LCM of 958,380,263 is 47871260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 558,198,846

GCF of Fractions 558/958,198/380,846/263 is 18/47871260

2 558, 198, 846
3 279, 99, 423
3 93, 33, 141
31, 11, 47

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 558,198,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,198,846 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 558,198,846 . The biggest common factor number is the GCF number.
So the greatest common factor 558,198,846 is 18.

Lets's calculate LCM of 958,380,263

2 958, 380, 263
479, 190, 263

∴ So the LCM of the given numbers is 2 x 479 x 190 x 263 = 47871260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/47871260

Therefore, the GCF of Fractions 558/958,198/380,846/263 is 18/47871260

Least Common Multiple of 958,380,263 with GCF Formula

Least Common Multiple of 958,380,263 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 958,380,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(958,380,263) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(958,380,263) x common factors =1 x 2 = 2

LCM(958,380,263) = ( 958 × 380 × 263 ) / 2

LCM(958,380,263) = 95742520 / 2

LCM(958,380,263) = 47871260


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 558/958, 198/380, 846/263

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 558/958, 198/380, 846/263?

Answer: GCF of Numerators as per given numbers 558/958, 198/380, 846/263 is

GCF of Numerators i.e. for 558,198,846 is 18

LCM of denominators i.e. for 958,380,263 is 47871260.

Thus, GCF of Fractions is 18/47871260.Finally, GCF of Fractions for 558/958, 198/380, 846/263 is 18/47871260.