Greatest Common Factor of 44/22, 91/98, 317/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/22, 91/98, 317/257

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 44/22,91/98,317/257

Given fractions are 44/22,91/98,317/257

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 44,91,317

Greatest Common Factor of Numerators i.e. GCF of 44,91,317 is 1 .

LCM of Denominators means LCM of 22,98,257 as per the given fractions.

LCM of 22,98,257 is 277046 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,91,317

GCF of Fractions 44/22,91/98,317/257 is 1/277046

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

Greatest Common Factor of 44,91,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,91,317 By Matching Biggest Common Factor Method

Factors of 44

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

1,2,4,11,22,44

Factors of 91

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

1,7,13,91

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 44,91,317 . The biggest common factor number is the GCF number.
So the greatest common factor 44,91,317 is 1.

Lets's calculate LCM of 22,98,257

2 22, 98, 257
11, 49, 257

∴ So the LCM of the given numbers is 2 x 11 x 49 x 257 = 277046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277046

Therefore, the GCF of Fractions 44/22,91/98,317/257 is 1/277046

Least Common Multiple of 22,98,257 with GCF Formula

Least Common Multiple of 22,98,257 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 22,98,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,98,257) = 1

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

GCF(22,98,257) x common factors =1 x 2 = 2

LCM(22,98,257) = ( 22 × 98 × 257 ) / 2

LCM(22,98,257) = 554092 / 2

LCM(22,98,257) = 277046


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 44/22, 91/98, 317/257

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 44/22, 91/98, 317/257?

Answer: GCF of Numerators as per given numbers 44/22, 91/98, 317/257 is

GCF of Numerators i.e. for 44,91,317 is 1

LCM of denominators i.e. for 22,98,257 is 277046.

Thus, GCF of Fractions is 1/277046.Finally, GCF of Fractions for 44/22, 91/98, 317/257 is 1/277046.