Greatest Common Factor of 41/45, 91/14, 522/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 41/45, 91/14, 522/221

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 41/45,91/14,522/221

Given fractions are 41/45,91/14,522/221

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 41,91,522

Greatest Common Factor of Numerators i.e. GCF of 41,91,522 is 1 .

LCM of Denominators means LCM of 45,14,221 as per the given fractions.

LCM of 45,14,221 is 139230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 41,91,522

GCF of Fractions 41/45,91/14,522/221 is 1/139230

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

Greatest Common Factor of 41,91,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,91,522 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 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 41,91,522 . The biggest common factor number is the GCF number.
So the greatest common factor 41,91,522 is 1.

Lets's calculate LCM of 45,14,221

Given numbers has no common factors except 1. So, there LCM is their product i.e 139230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139230

Therefore, the GCF of Fractions 41/45,91/14,522/221 is 1/139230

Least Common Multiple of 45,14,221 with GCF Formula

Least Common Multiple of 45,14,221 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 45,14,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,14,221) = 1

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

GCF(45,14,221) x common factors =1 x 1 = 1

LCM(45,14,221) = ( 45 × 14 × 221 ) / 1

LCM(45,14,221) = 139230 / 1

LCM(45,14,221) = 139230


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 41/45, 91/14, 522/221

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 41/45, 91/14, 522/221?

Answer: GCF of Numerators as per given numbers 41/45, 91/14, 522/221 is

GCF of Numerators i.e. for 41,91,522 is 1

LCM of denominators i.e. for 45,14,221 is 139230.

Thus, GCF of Fractions is 1/139230.Finally, GCF of Fractions for 41/45, 91/14, 522/221 is 1/139230.