Greatest Common Factor of 7448/178, 4367/9482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 7448/178, 4367/9482

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 7448/178,4367/9482

Given fractions are 7448/178,4367/9482

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 7448,4367

Greatest Common Factor of Numerators i.e. GCF of 7448,4367 is 1 .

LCM of Denominators means LCM of 178,9482 as per the given fractions.

LCM of 178,9482 is 843898 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7448,4367

GCF of Fractions 7448/178,4367/9482 is 1/843898

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

Greatest Common Factor of 7448,4367 By Matching Biggest Common Factor Method

Greatest Common Factor of 7448,4367 By Matching Biggest Common Factor Method

Factors of 7448

List of positive integer factors of 7448 that divides 7448 without a remainder.

1,2,4,7,8,14,19,28,38,49,56,76,98,133,152,196,266,392,532,931,1064,1862,3724,7448

Factors of 4367

List of positive integer factors of 4367 that divides 4367 without a remainder.

1,11,397,4367

Greatest Common Factor

We found the factors 7448,4367 . The biggest common factor number is the GCF number.
So the greatest common factor 7448,4367 is 1.


Lets's calculate LCM of 178,9482

2 178, 9482
89, 4741

∴ So the LCM of the given numbers is 2 x 89 x 4741 = 843898

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/843898

Therefore, the GCF of Fractions 7448/178,4367/9482 is 1/843898

Least Common Multiple of 178,9482 with GCF Formula

Least Common Multiple of 178,9482 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 178,9482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,9482) = 2

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

GCF(178,9482) x common factors =2 x 1 = 2

LCM(178,9482) = ( 178 × 9482 ) / 2

LCM(178,9482) = 1687796 / 2

LCM(178,9482) = 843898


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 7448/178, 4367/9482

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 7448/178, 4367/9482?

Answer: GCF of Numerators as per given numbers 7448/178, 4367/9482 is

GCF of Numerators i.e. for 7448,4367 is 1

LCM of denominators i.e. for 178,9482 is 843898.

Thus, GCF of Fractions is 1/843898.Finally, GCF of Fractions for 7448/178, 4367/9482 is 1/843898.