Greatest Common Factor of 418/314, 196/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 418/314, 196/878

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 418/314,196/878

Given fractions are 418/314,196/878

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 418,196

Greatest Common Factor of Numerators i.e. GCF of 418,196 is 2 .

LCM of Denominators means LCM of 314,878 as per the given fractions.

LCM of 314,878 is 137846 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 418,196

GCF of Fractions 418/314,196/878 is 2/137846

2 418, 196
209, 98

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

Greatest Common Factor of 418,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,196 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 418,196 . The biggest common factor number is the GCF number.
So the greatest common factor 418,196 is 2.

Lets's calculate LCM of 314,878

2 314, 878
157, 439

∴ So the LCM of the given numbers is 2 x 157 x 439 = 137846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/137846

Therefore, the GCF of Fractions 418/314,196/878 is 2/137846

Least Common Multiple of 314,878 with GCF Formula

Least Common Multiple of 314,878 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 314,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,878) = 2

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

GCF(314,878) x common factors =2 x 1 = 2

LCM(314,878) = ( 314 × 878 ) / 2

LCM(314,878) = 275692 / 2

LCM(314,878) = 137846


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 418/314, 196/878

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 418/314, 196/878?

Answer: GCF of Numerators as per given numbers 418/314, 196/878 is

GCF of Numerators i.e. for 418,196 is 2

LCM of denominators i.e. for 314,878 is 137846.

Thus, GCF of Fractions is 2/137846.Finally, GCF of Fractions for 418/314, 196/878 is 2/137846.