Greatest Common Factor of 7375/320, 9443/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7375/320, 9443/166

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 7375/320,9443/166

Given fractions are 7375/320,9443/166

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 7375,9443

Greatest Common Factor of Numerators i.e. GCF of 7375,9443 is 1 .

LCM of Denominators means LCM of 320,166 as per the given fractions.

LCM of 320,166 is 26560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7375,9443

GCF of Fractions 7375/320,9443/166 is 1/26560

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

Greatest Common Factor of 7375,9443 By Matching Biggest Common Factor Method

Greatest Common Factor of 7375,9443 By Matching Biggest Common Factor Method

Factors of 7375

List of positive integer factors of 7375 that divides 7375 without a remainder.

1,5,25,59,125,295,1475,7375

Factors of 9443

List of positive integer factors of 9443 that divides 9443 without a remainder.

1,7,19,71,133,497,1349,9443

Greatest Common Factor

We found the factors 7375,9443 . The biggest common factor number is the GCF number.
So the greatest common factor 7375,9443 is 1.

Lets's calculate LCM of 320,166

2 320, 166
160, 83

∴ So the LCM of the given numbers is 2 x 160 x 83 = 26560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26560

Therefore, the GCF of Fractions 7375/320,9443/166 is 1/26560

Least Common Multiple of 320,166 with GCF Formula

Least Common Multiple of 320,166 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 320,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,166) = 2

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

GCF(320,166) x common factors =2 x 1 = 2

LCM(320,166) = ( 320 × 166 ) / 2

LCM(320,166) = 53120 / 2

LCM(320,166) = 26560


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 7375/320, 9443/166

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 7375/320, 9443/166?

Answer: GCF of Numerators as per given numbers 7375/320, 9443/166 is

GCF of Numerators i.e. for 7375,9443 is 1

LCM of denominators i.e. for 320,166 is 26560.

Thus, GCF of Fractions is 1/26560.Finally, GCF of Fractions for 7375/320, 9443/166 is 1/26560.