Greatest Common Factor of 298/814, 916/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 298/814, 916/197

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 298/814,916/197

Given fractions are 298/814,916/197

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 298,916

Greatest Common Factor of Numerators i.e. GCF of 298,916 is 2 .

LCM of Denominators means LCM of 814,197 as per the given fractions.

LCM of 814,197 is 160358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 298,916

GCF of Fractions 298/814,916/197 is 2/160358

2 298, 916
149, 458

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

Greatest Common Factor of 298,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,916 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 298,916 . The biggest common factor number is the GCF number.
So the greatest common factor 298,916 is 2.

Lets's calculate LCM of 814,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 160358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/160358

Therefore, the GCF of Fractions 298/814,916/197 is 2/160358

Least Common Multiple of 814,197 with GCF Formula

Least Common Multiple of 814,197 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 814,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,197) = 1

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

GCF(814,197) x common factors =1 x 1 = 1

LCM(814,197) = ( 814 × 197 ) / 1

LCM(814,197) = 160358 / 1

LCM(814,197) = 160358


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 298/814, 916/197

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 298/814, 916/197?

Answer: GCF of Numerators as per given numbers 298/814, 916/197 is

GCF of Numerators i.e. for 298,916 is 2

LCM of denominators i.e. for 814,197 is 160358.

Thus, GCF of Fractions is 2/160358.Finally, GCF of Fractions for 298/814, 916/197 is 2/160358.