Greatest Common Factor of 7328/374, 1331/3020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7328/374, 1331/3020

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 7328/374,1331/3020

Given fractions are 7328/374,1331/3020

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 7328,1331

Greatest Common Factor of Numerators i.e. GCF of 7328,1331 is 1 .

LCM of Denominators means LCM of 374,3020 as per the given fractions.

LCM of 374,3020 is 564740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7328,1331

GCF of Fractions 7328/374,1331/3020 is 1/564740

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

Greatest Common Factor of 7328,1331 By Matching Biggest Common Factor Method

Greatest Common Factor of 7328,1331 By Matching Biggest Common Factor Method

Factors of 7328

List of positive integer factors of 7328 that divides 7328 without a remainder.

1,2,4,8,16,32,229,458,916,1832,3664,7328

Factors of 1331

List of positive integer factors of 1331 that divides 1331 without a remainder.

1,11,121,1331

Greatest Common Factor

We found the factors 7328,1331 . The biggest common factor number is the GCF number.
So the greatest common factor 7328,1331 is 1.

Lets's calculate LCM of 374,3020

2 374, 3020
187, 1510

∴ So the LCM of the given numbers is 2 x 187 x 1510 = 564740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/564740

Therefore, the GCF of Fractions 7328/374,1331/3020 is 1/564740

Least Common Multiple of 374,3020 with GCF Formula

Least Common Multiple of 374,3020 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 374,3020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,3020) = 2

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

GCF(374,3020) x common factors =2 x 1 = 2

LCM(374,3020) = ( 374 × 3020 ) / 2

LCM(374,3020) = 1129480 / 2

LCM(374,3020) = 564740


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 7328/374, 1331/3020

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 7328/374, 1331/3020?

Answer: GCF of Numerators as per given numbers 7328/374, 1331/3020 is

GCF of Numerators i.e. for 7328,1331 is 1

LCM of denominators i.e. for 374,3020 is 564740.

Thus, GCF of Fractions is 1/564740.Finally, GCF of Fractions for 7328/374, 1331/3020 is 1/564740.