Greatest Common Factor of 48/743, 863/303, 329/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/743, 863/303, 329/555

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 48/743,863/303,329/555

Given fractions are 48/743,863/303,329/555

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 48,863,329

Greatest Common Factor of Numerators i.e. GCF of 48,863,329 is 1 .

LCM of Denominators means LCM of 743,303,555 as per the given fractions.

LCM of 743,303,555 is 41648865 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,863,329

GCF of Fractions 48/743,863/303,329/555 is 1/41648865

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

Greatest Common Factor of 48,863,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,863,329 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 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 48,863,329 . The biggest common factor number is the GCF number.
So the greatest common factor 48,863,329 is 1.

Lets's calculate LCM of 743,303,555

3 743, 303, 555
743, 101, 185

∴ So the LCM of the given numbers is 3 x 743 x 101 x 185 = 41648865

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41648865

Therefore, the GCF of Fractions 48/743,863/303,329/555 is 1/41648865

Least Common Multiple of 743,303,555 with GCF Formula

Least Common Multiple of 743,303,555 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 743,303,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,303,555) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(743,303,555) x common factors =1 x 3 = 3

LCM(743,303,555) = ( 743 × 303 × 555 ) / 3

LCM(743,303,555) = 124946595 / 3

LCM(743,303,555) = 41648865


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 48/743, 863/303, 329/555

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 48/743, 863/303, 329/555?

Answer: GCF of Numerators as per given numbers 48/743, 863/303, 329/555 is

GCF of Numerators i.e. for 48,863,329 is 1

LCM of denominators i.e. for 743,303,555 is 41648865.

Thus, GCF of Fractions is 1/41648865.Finally, GCF of Fractions for 48/743, 863/303, 329/555 is 1/41648865.