Greatest Common Factor of 7298/146, 3991/7743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7298/146, 3991/7743

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 7298/146,3991/7743

Given fractions are 7298/146,3991/7743

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 7298,3991

Greatest Common Factor of Numerators i.e. GCF of 7298,3991 is 1 .

LCM of Denominators means LCM of 146,7743 as per the given fractions.

LCM of 146,7743 is 1130478 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7298,3991

GCF of Fractions 7298/146,3991/7743 is 1/1130478

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

Greatest Common Factor of 7298,3991 By Matching Biggest Common Factor Method

Greatest Common Factor of 7298,3991 By Matching Biggest Common Factor Method

Factors of 7298

List of positive integer factors of 7298 that divides 7298 without a remainder.

1,2,41,82,89,178,3649,7298

Factors of 3991

List of positive integer factors of 3991 that divides 3991 without a remainder.

1,13,307,3991

Greatest Common Factor

We found the factors 7298,3991 . The biggest common factor number is the GCF number.
So the greatest common factor 7298,3991 is 1.

Lets's calculate LCM of 146,7743

Given numbers has no common factors except 1. So, there LCM is their product i.e 1130478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1130478

Therefore, the GCF of Fractions 7298/146,3991/7743 is 1/1130478

Least Common Multiple of 146,7743 with GCF Formula

Least Common Multiple of 146,7743 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 146,7743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,7743) = 1

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

GCF(146,7743) x common factors =1 x 1 = 1

LCM(146,7743) = ( 146 × 7743 ) / 1

LCM(146,7743) = 1130478 / 1

LCM(146,7743) = 1130478


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 7298/146, 3991/7743

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 7298/146, 3991/7743?

Answer: GCF of Numerators as per given numbers 7298/146, 3991/7743 is

GCF of Numerators i.e. for 7298,3991 is 1

LCM of denominators i.e. for 146,7743 is 1130478.

Thus, GCF of Fractions is 1/1130478.Finally, GCF of Fractions for 7298/146, 3991/7743 is 1/1130478.