Greatest Common Factor of 3928/74, 5346/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3928/74, 5346/734

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 3928/74,5346/734

Given fractions are 3928/74,5346/734

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 3928,5346

Greatest Common Factor of Numerators i.e. GCF of 3928,5346 is 2 .

LCM of Denominators means LCM of 74,734 as per the given fractions.

LCM of 74,734 is 27158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3928,5346

GCF of Fractions 3928/74,5346/734 is 2/27158

2 3928, 5346
1964, 2673

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3928,5346 By Matching Biggest Common Factor Method

Greatest Common Factor of 3928,5346 By Matching Biggest Common Factor Method

Factors of 3928

List of positive integer factors of 3928 that divides 3928 without a remainder.

1,2,4,8,491,982,1964,3928

Factors of 5346

List of positive integer factors of 5346 that divides 5346 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,243,297,486,594,891,1782,2673,5346

Greatest Common Factor

We found the factors 3928,5346 . The biggest common factor number is the GCF number.
So the greatest common factor 3928,5346 is 2.

Lets's calculate LCM of 74,734

2 74, 734
37, 367

∴ So the LCM of the given numbers is 2 x 37 x 367 = 27158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27158

Therefore, the GCF of Fractions 3928/74,5346/734 is 2/27158

Least Common Multiple of 74,734 with GCF Formula

Least Common Multiple of 74,734 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 74,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,734) = 2

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

GCF(74,734) x common factors =2 x 1 = 2

LCM(74,734) = ( 74 × 734 ) / 2

LCM(74,734) = 54316 / 2

LCM(74,734) = 27158


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 3928/74, 5346/734

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 3928/74, 5346/734?

Answer: GCF of Numerators as per given numbers 3928/74, 5346/734 is

GCF of Numerators i.e. for 3928,5346 is 2

LCM of denominators i.e. for 74,734 is 27158.

Thus, GCF of Fractions is 2/27158.Finally, GCF of Fractions for 3928/74, 5346/734 is 2/27158.