Greatest Common Factor of 317/38, 267/16, 795/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 317/38, 267/16, 795/17

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 317/38,267/16,795/17

Given fractions are 317/38,267/16,795/17

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 317,267,795

Greatest Common Factor of Numerators i.e. GCF of 317,267,795 is 1 .

LCM of Denominators means LCM of 38,16,17 as per the given fractions.

LCM of 38,16,17 is 5168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 317,267,795

GCF of Fractions 317/38,267/16,795/17 is 1/5168

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

Greatest Common Factor of 317,267,795 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,267,795 By Matching Biggest Common Factor Method

Factors of 317

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

1,317

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Greatest Common Factor

We found the factors 317,267,795 . The biggest common factor number is the GCF number.
So the greatest common factor 317,267,795 is 1.

Lets's calculate LCM of 38,16,17

2 38, 16, 17
19, 8, 17

∴ So the LCM of the given numbers is 2 x 19 x 8 x 17 = 5168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5168

Therefore, the GCF of Fractions 317/38,267/16,795/17 is 1/5168

Least Common Multiple of 38,16,17 with GCF Formula

Least Common Multiple of 38,16,17 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 38,16,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,16,17) = 1

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

GCF(38,16,17) x common factors =1 x 2 = 2

LCM(38,16,17) = ( 38 × 16 × 17 ) / 2

LCM(38,16,17) = 10336 / 2

LCM(38,16,17) = 5168


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 317/38, 267/16, 795/17

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 317/38, 267/16, 795/17?

Answer: GCF of Numerators as per given numbers 317/38, 267/16, 795/17 is

GCF of Numerators i.e. for 317,267,795 is 1

LCM of denominators i.e. for 38,16,17 is 5168.

Thus, GCF of Fractions is 1/5168.Finally, GCF of Fractions for 317/38, 267/16, 795/17 is 1/5168.