Greatest Common Factor of 41/44, 80/26, 954/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 41/44, 80/26, 954/297

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 41/44,80/26,954/297

Given fractions are 41/44,80/26,954/297

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 41,80,954

Greatest Common Factor of Numerators i.e. GCF of 41,80,954 is 1 .

LCM of Denominators means LCM of 44,26,297 as per the given fractions.

LCM of 44,26,297 is 15444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 41,80,954

GCF of Fractions 41/44,80/26,954/297 is 1/15444

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

Greatest Common Factor of 41,80,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,80,954 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 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 41,80,954 . The biggest common factor number is the GCF number.
So the greatest common factor 41,80,954 is 1.

Lets's calculate LCM of 44,26,297

2 44, 26, 297
11 22, 13, 297
2, 13, 27

∴ So the LCM of the given numbers is 2 x 11 x 2 x 13 x 27 = 15444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15444

Therefore, the GCF of Fractions 41/44,80/26,954/297 is 1/15444

Least Common Multiple of 44,26,297 with GCF Formula

Least Common Multiple of 44,26,297 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 44,26,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,26,297) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(44,26,297) x common factors =1 x 22 = 22

LCM(44,26,297) = ( 44 × 26 × 297 ) / 22

LCM(44,26,297) = 339768 / 22

LCM(44,26,297) = 15444


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 41/44, 80/26, 954/297

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 41/44, 80/26, 954/297?

Answer: GCF of Numerators as per given numbers 41/44, 80/26, 954/297 is

GCF of Numerators i.e. for 41,80,954 is 1

LCM of denominators i.e. for 44,26,297 is 15444.

Thus, GCF of Fractions is 1/15444.Finally, GCF of Fractions for 41/44, 80/26, 954/297 is 1/15444.