Greatest Common Factor of 7351/372, 2298/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7351/372, 2298/714

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 7351/372,2298/714

Given fractions are 7351/372,2298/714

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 7351,2298

Greatest Common Factor of Numerators i.e. GCF of 7351,2298 is 1 .

LCM of Denominators means LCM of 372,714 as per the given fractions.

LCM of 372,714 is 44268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7351,2298

GCF of Fractions 7351/372,2298/714 is 1/44268

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

Greatest Common Factor of 7351,2298 By Matching Biggest Common Factor Method

Greatest Common Factor of 7351,2298 By Matching Biggest Common Factor Method

Factors of 7351

List of positive integer factors of 7351 that divides 7351 without a remainder.

1,7351

Factors of 2298

List of positive integer factors of 2298 that divides 2298 without a remainder.

1,2,3,6,383,766,1149,2298

Greatest Common Factor

We found the factors 7351,2298 . The biggest common factor number is the GCF number.
So the greatest common factor 7351,2298 is 1.

Lets's calculate LCM of 372,714

2 372, 714
3 186, 357
62, 119

∴ So the LCM of the given numbers is 2 x 3 x 62 x 119 = 44268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44268

Therefore, the GCF of Fractions 7351/372,2298/714 is 1/44268

Least Common Multiple of 372,714 with GCF Formula

Least Common Multiple of 372,714 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 372,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,714) = 6

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

GCF(372,714) x common factors =6 x 1 = 6

LCM(372,714) = ( 372 × 714 ) / 6

LCM(372,714) = 265608 / 6

LCM(372,714) = 44268


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 7351/372, 2298/714

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 7351/372, 2298/714?

Answer: GCF of Numerators as per given numbers 7351/372, 2298/714 is

GCF of Numerators i.e. for 7351,2298 is 1

LCM of denominators i.e. for 372,714 is 44268.

Thus, GCF of Fractions is 1/44268.Finally, GCF of Fractions for 7351/372, 2298/714 is 1/44268.