Greatest Common Factor of 7/41, 44/38, 65/550, 344/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/41, 44/38, 65/550, 344/363

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 7/41,44/38,65/550,344/363

Given fractions are 7/41,44/38,65/550,344/363

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 7,44,65,344

Greatest Common Factor of Numerators i.e. GCF of 7,44,65,344 is 1 .

LCM of Denominators means LCM of 41,38,550,363 as per the given fractions.

LCM of 41,38,550,363 is 14138850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,44,65,344

GCF of Fractions 7/41,44/38,65/550,344/363 is 1/14138850

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

Greatest Common Factor of 7,44,65,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,44,65,344 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 7,44,65,344 . The biggest common factor number is the GCF number.
So the greatest common factor 7,44,65,344 is 1.

Lets's calculate LCM of 41,38,550,363

2 41, 38, 550, 363
11 41, 19, 275, 363
41, 19, 25, 33

∴ So the LCM of the given numbers is 2 x 11 x 41 x 19 x 25 x 33 = 14138850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14138850

Therefore, the GCF of Fractions 7/41,44/38,65/550,344/363 is 1/14138850

Least Common Multiple of 41,38,550,363 with GCF Formula

Least Common Multiple of 41,38,550,363 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 41,38,550,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,38,550,363) = 1

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

GCF(41,38,550,363) x common factors =1 x 22 = 22

LCM(41,38,550,363) = ( 41 × 38 × 550 × 363 ) / 22

LCM(41,38,550,363) = 311054700 / 22

LCM(41,38,550,363) = 14138850


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 7/41, 44/38, 65/550, 344/363

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 7/41, 44/38, 65/550, 344/363?

Answer: GCF of Numerators as per given numbers 7/41, 44/38, 65/550, 344/363 is

GCF of Numerators i.e. for 7,44,65,344 is 1

LCM of denominators i.e. for 41,38,550,363 is 14138850.

Thus, GCF of Fractions is 1/14138850.Finally, GCF of Fractions for 7/41, 44/38, 65/550, 344/363 is 1/14138850.