Greatest Common Factor of 48/499, 726/494, 133/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/499, 726/494, 133/145

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 48/499,726/494,133/145

Given fractions are 48/499,726/494,133/145

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 48,726,133

Greatest Common Factor of Numerators i.e. GCF of 48,726,133 is 1 .

LCM of Denominators means LCM of 499,494,145 as per the given fractions.

LCM of 499,494,145 is 35743370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,726,133

GCF of Fractions 48/499,726/494,133/145 is 1/35743370

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

Greatest Common Factor of 48,726,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,726,133 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 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 48,726,133 . The biggest common factor number is the GCF number.
So the greatest common factor 48,726,133 is 1.

Lets's calculate LCM of 499,494,145

Given numbers has no common factors except 1. So, there LCM is their product i.e 35743370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35743370

Therefore, the GCF of Fractions 48/499,726/494,133/145 is 1/35743370

Least Common Multiple of 499,494,145 with GCF Formula

Least Common Multiple of 499,494,145 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 499,494,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,494,145) = 1

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

GCF(499,494,145) x common factors =1 x 1 = 1

LCM(499,494,145) = ( 499 × 494 × 145 ) / 1

LCM(499,494,145) = 35743370 / 1

LCM(499,494,145) = 35743370


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 48/499, 726/494, 133/145

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 48/499, 726/494, 133/145?

Answer: GCF of Numerators as per given numbers 48/499, 726/494, 133/145 is

GCF of Numerators i.e. for 48,726,133 is 1

LCM of denominators i.e. for 499,494,145 is 35743370.

Thus, GCF of Fractions is 1/35743370.Finally, GCF of Fractions for 48/499, 726/494, 133/145 is 1/35743370.