Greatest Common Factor of 991/43, 404/23, 438/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 991/43, 404/23, 438/549

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 991/43,404/23,438/549

Given fractions are 991/43,404/23,438/549

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 991,404,438

Greatest Common Factor of Numerators i.e. GCF of 991,404,438 is 1 .

LCM of Denominators means LCM of 43,23,549 as per the given fractions.

LCM of 43,23,549 is 542961 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 991,404,438

GCF of Fractions 991/43,404/23,438/549 is 1/542961

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

Greatest Common Factor of 991,404,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,404,438 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 991,404,438 . The biggest common factor number is the GCF number.
So the greatest common factor 991,404,438 is 1.

Lets's calculate LCM of 43,23,549

Given numbers has no common factors except 1. So, there LCM is their product i.e 542961

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/542961

Therefore, the GCF of Fractions 991/43,404/23,438/549 is 1/542961

Least Common Multiple of 43,23,549 with GCF Formula

Least Common Multiple of 43,23,549 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 43,23,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,23,549) = 1

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

GCF(43,23,549) x common factors =1 x 1 = 1

LCM(43,23,549) = ( 43 × 23 × 549 ) / 1

LCM(43,23,549) = 542961 / 1

LCM(43,23,549) = 542961


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 991/43, 404/23, 438/549

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 991/43, 404/23, 438/549?

Answer: GCF of Numerators as per given numbers 991/43, 404/23, 438/549 is

GCF of Numerators i.e. for 991,404,438 is 1

LCM of denominators i.e. for 43,23,549 is 542961.

Thus, GCF of Fractions is 1/542961.Finally, GCF of Fractions for 991/43, 404/23, 438/549 is 1/542961.