Greatest Common Factor of 718/14, 414/9161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 718/14, 414/9161

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 718/14,414/9161

Given fractions are 718/14,414/9161

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 718,414

Greatest Common Factor of Numerators i.e. GCF of 718,414 is 2 .

LCM of Denominators means LCM of 14,9161 as per the given fractions.

LCM of 14,9161 is 128254 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 718,414

GCF of Fractions 718/14,414/9161 is 2/128254

2 718, 414
359, 207

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 718,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,414 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 718,414 . The biggest common factor number is the GCF number.
So the greatest common factor 718,414 is 2.

Lets's calculate LCM of 14,9161

Given numbers has no common factors except 1. So, there LCM is their product i.e 128254

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/128254

Therefore, the GCF of Fractions 718/14,414/9161 is 2/128254

Least Common Multiple of 14,9161 with GCF Formula

Least Common Multiple of 14,9161 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 14,9161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,9161) = 1

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

GCF(14,9161) x common factors =1 x 1 = 1

LCM(14,9161) = ( 14 × 9161 ) / 1

LCM(14,9161) = 128254 / 1

LCM(14,9161) = 128254


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 718/14, 414/9161

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 718/14, 414/9161?

Answer: GCF of Numerators as per given numbers 718/14, 414/9161 is

GCF of Numerators i.e. for 718,414 is 2

LCM of denominators i.e. for 14,9161 is 128254.

Thus, GCF of Fractions is 2/128254.Finally, GCF of Fractions for 718/14, 414/9161 is 2/128254.