Greatest Common Factor of 48/41, 83/10, 704/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/41, 83/10, 704/675

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 48/41,83/10,704/675

Given fractions are 48/41,83/10,704/675

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 48,83,704

Greatest Common Factor of Numerators i.e. GCF of 48,83,704 is 1 .

LCM of Denominators means LCM of 41,10,675 as per the given fractions.

LCM of 41,10,675 is 55350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,83,704

GCF of Fractions 48/41,83/10,704/675 is 1/55350

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

Greatest Common Factor of 48,83,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,83,704 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 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 48,83,704 . The biggest common factor number is the GCF number.
So the greatest common factor 48,83,704 is 1.

Lets's calculate LCM of 41,10,675

5 41, 10, 675
41, 2, 135

∴ So the LCM of the given numbers is 5 x 41 x 2 x 135 = 55350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55350

Therefore, the GCF of Fractions 48/41,83/10,704/675 is 1/55350

Least Common Multiple of 41,10,675 with GCF Formula

Least Common Multiple of 41,10,675 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 41,10,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,10,675) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(41,10,675) x common factors =1 x 5 = 5

LCM(41,10,675) = ( 41 × 10 × 675 ) / 5

LCM(41,10,675) = 276750 / 5

LCM(41,10,675) = 55350


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 48/41, 83/10, 704/675

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 48/41, 83/10, 704/675?

Answer: GCF of Numerators as per given numbers 48/41, 83/10, 704/675 is

GCF of Numerators i.e. for 48,83,704 is 1

LCM of denominators i.e. for 41,10,675 is 55350.

Thus, GCF of Fractions is 1/55350.Finally, GCF of Fractions for 48/41, 83/10, 704/675 is 1/55350.