Greatest Common Factor of 41/54, 422/88, 793/547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 41/54, 422/88, 793/547

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 41/54,422/88,793/547

Given fractions are 41/54,422/88,793/547

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 41,422,793

Greatest Common Factor of Numerators i.e. GCF of 41,422,793 is 1 .

LCM of Denominators means LCM of 54,88,547 as per the given fractions.

LCM of 54,88,547 is 1299672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 41,422,793

GCF of Fractions 41/54,422/88,793/547 is 1/1299672

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

Greatest Common Factor of 41,422,793 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,422,793 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Greatest Common Factor

We found the factors 41,422,793 . The biggest common factor number is the GCF number.
So the greatest common factor 41,422,793 is 1.

Lets's calculate LCM of 54,88,547

2 54, 88, 547
27, 44, 547

∴ So the LCM of the given numbers is 2 x 27 x 44 x 547 = 1299672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1299672

Therefore, the GCF of Fractions 41/54,422/88,793/547 is 1/1299672

Least Common Multiple of 54,88,547 with GCF Formula

Least Common Multiple of 54,88,547 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 54,88,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,88,547) = 1

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

GCF(54,88,547) x common factors =1 x 2 = 2

LCM(54,88,547) = ( 54 × 88 × 547 ) / 2

LCM(54,88,547) = 2599344 / 2

LCM(54,88,547) = 1299672


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 41/54, 422/88, 793/547

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 41/54, 422/88, 793/547?

Answer: GCF of Numerators as per given numbers 41/54, 422/88, 793/547 is

GCF of Numerators i.e. for 41,422,793 is 1

LCM of denominators i.e. for 54,88,547 is 1299672.

Thus, GCF of Fractions is 1/1299672.Finally, GCF of Fractions for 41/54, 422/88, 793/547 is 1/1299672.