Greatest Common Factor of 928/68, 196/86, 908/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 928/68, 196/86, 908/558

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 928/68,196/86,908/558

Given fractions are 928/68,196/86,908/558

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 928,196,908

Greatest Common Factor of Numerators i.e. GCF of 928,196,908 is 4 .

LCM of Denominators means LCM of 68,86,558 as per the given fractions.

LCM of 68,86,558 is 815796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 928,196,908

GCF of Fractions 928/68,196/86,908/558 is 4/815796

2 928, 196, 908
2 464, 98, 454
232, 49, 227

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 928,196,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,196,908 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 928,196,908 . The biggest common factor number is the GCF number.
So the greatest common factor 928,196,908 is 4.


Lets's calculate LCM of 68,86,558

2 68, 86, 558
34, 43, 279

∴ So the LCM of the given numbers is 2 x 34 x 43 x 279 = 815796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/815796

Therefore, the GCF of Fractions 928/68,196/86,908/558 is 4/815796

Least Common Multiple of 68,86,558 with GCF Formula

Least Common Multiple of 68,86,558 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 68,86,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,86,558) = 2

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

GCF(68,86,558) x common factors =2 x 2 = 4

LCM(68,86,558) = ( 68 × 86 × 558 ) / 4

LCM(68,86,558) = 3263184 / 4

LCM(68,86,558) = 815796


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 928/68, 196/86, 908/558

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 928/68, 196/86, 908/558?

Answer: GCF of Numerators as per given numbers 928/68, 196/86, 908/558 is

GCF of Numerators i.e. for 928,196,908 is 4

LCM of denominators i.e. for 68,86,558 is 815796.

Thus, GCF of Fractions is 4/815796.Finally, GCF of Fractions for 928/68, 196/86, 908/558 is 4/815796.