Greatest Common Factor of 8278/738, 3734/9430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8278/738, 3734/9430

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 8278/738,3734/9430

Given fractions are 8278/738,3734/9430

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 8278,3734

Greatest Common Factor of Numerators i.e. GCF of 8278,3734 is 2 .

LCM of Denominators means LCM of 738,9430 as per the given fractions.

LCM of 738,9430 is 84870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8278,3734

GCF of Fractions 8278/738,3734/9430 is 2/84870

2 8278, 3734
4139, 1867

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

Greatest Common Factor of 8278,3734 By Matching Biggest Common Factor Method

Greatest Common Factor of 8278,3734 By Matching Biggest Common Factor Method

Factors of 8278

List of positive integer factors of 8278 that divides 8278 without a remainder.

1,2,4139,8278

Factors of 3734

List of positive integer factors of 3734 that divides 3734 without a remainder.

1,2,1867,3734

Greatest Common Factor

We found the factors 8278,3734 . The biggest common factor number is the GCF number.
So the greatest common factor 8278,3734 is 2.

Lets's calculate LCM of 738,9430

2 738, 9430
41 369, 4715
9, 115

∴ So the LCM of the given numbers is 2 x 41 x 9 x 115 = 84870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/84870

Therefore, the GCF of Fractions 8278/738,3734/9430 is 2/84870

Least Common Multiple of 738,9430 with GCF Formula

Least Common Multiple of 738,9430 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 738,9430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,9430) = 82

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

GCF(738,9430) x common factors =82 x 1 = 82

LCM(738,9430) = ( 738 × 9430 ) / 82

LCM(738,9430) = 6959340 / 82

LCM(738,9430) = 84870


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 8278/738, 3734/9430

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 8278/738, 3734/9430?

Answer: GCF of Numerators as per given numbers 8278/738, 3734/9430 is

GCF of Numerators i.e. for 8278,3734 is 2

LCM of denominators i.e. for 738,9430 is 84870.

Thus, GCF of Fractions is 2/84870.Finally, GCF of Fractions for 8278/738, 3734/9430 is 2/84870.