Greatest Common Factor of 340/27, 3417/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 340/27, 3417/158

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 340/27,3417/158

Given fractions are 340/27,3417/158

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 340,3417

Greatest Common Factor of Numerators i.e. GCF of 340,3417 is 17 .

LCM of Denominators means LCM of 27,158 as per the given fractions.

LCM of 27,158 is 4266 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 340,3417

GCF of Fractions 340/27,3417/158 is 17/4266

17 340, 3417
20, 201

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 340,3417 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,3417 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 3417

List of positive integer factors of 3417 that divides 3417 without a remainder.

1,3,17,51,67,201,1139,3417

Greatest Common Factor

We found the factors 340,3417 . The biggest common factor number is the GCF number.
So the greatest common factor 340,3417 is 17.

Lets's calculate LCM of 27,158

Given numbers has no common factors except 1. So, there LCM is their product i.e 4266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/4266

Therefore, the GCF of Fractions 340/27,3417/158 is 17/4266

Least Common Multiple of 27,158 with GCF Formula

Least Common Multiple of 27,158 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 27,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,158) = 1

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

GCF(27,158) x common factors =1 x 1 = 1

LCM(27,158) = ( 27 × 158 ) / 1

LCM(27,158) = 4266 / 1

LCM(27,158) = 4266


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 340/27, 3417/158

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 340/27, 3417/158?

Answer: GCF of Numerators as per given numbers 340/27, 3417/158 is

GCF of Numerators i.e. for 340,3417 is 17

LCM of denominators i.e. for 27,158 is 4266.

Thus, GCF of Fractions is 17/4266.Finally, GCF of Fractions for 340/27, 3417/158 is 17/4266.