Greatest Common Factor of 17/306, 7244/3418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/306, 7244/3418

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 17/306,7244/3418

Given fractions are 17/306,7244/3418

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 17,7244

Greatest Common Factor of Numerators i.e. GCF of 17,7244 is 1 .

LCM of Denominators means LCM of 306,3418 as per the given fractions.

LCM of 306,3418 is 522954 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,7244

GCF of Fractions 17/306,7244/3418 is 1/522954

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

Greatest Common Factor of 17,7244 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,7244 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 7244

List of positive integer factors of 7244 that divides 7244 without a remainder.

1,2,4,1811,3622,7244

Greatest Common Factor

We found the factors 17,7244 . The biggest common factor number is the GCF number.
So the greatest common factor 17,7244 is 1.

Lets's calculate LCM of 306,3418

2 306, 3418
153, 1709

∴ So the LCM of the given numbers is 2 x 153 x 1709 = 522954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/522954

Therefore, the GCF of Fractions 17/306,7244/3418 is 1/522954

Least Common Multiple of 306,3418 with GCF Formula

Least Common Multiple of 306,3418 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 306,3418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,3418) = 2

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

GCF(306,3418) x common factors =2 x 1 = 2

LCM(306,3418) = ( 306 × 3418 ) / 2

LCM(306,3418) = 1045908 / 2

LCM(306,3418) = 522954


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 17/306, 7244/3418

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 17/306, 7244/3418?

Answer: GCF of Numerators as per given numbers 17/306, 7244/3418 is

GCF of Numerators i.e. for 17,7244 is 1

LCM of denominators i.e. for 306,3418 is 522954.

Thus, GCF of Fractions is 1/522954.Finally, GCF of Fractions for 17/306, 7244/3418 is 1/522954.