Greatest Common Factor of 7834/28, 8314/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7834/28, 8314/362

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 7834/28,8314/362

Given fractions are 7834/28,8314/362

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 7834,8314

Greatest Common Factor of Numerators i.e. GCF of 7834,8314 is 2 .

LCM of Denominators means LCM of 28,362 as per the given fractions.

LCM of 28,362 is 5068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7834,8314

GCF of Fractions 7834/28,8314/362 is 2/5068

2 7834, 8314
3917, 4157

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

Greatest Common Factor of 7834,8314 By Matching Biggest Common Factor Method

Greatest Common Factor of 7834,8314 By Matching Biggest Common Factor Method

Factors of 7834

List of positive integer factors of 7834 that divides 7834 without a remainder.

1,2,3917,7834

Factors of 8314

List of positive integer factors of 8314 that divides 8314 without a remainder.

1,2,4157,8314

Greatest Common Factor

We found the factors 7834,8314 . The biggest common factor number is the GCF number.
So the greatest common factor 7834,8314 is 2.

Lets's calculate LCM of 28,362

2 28, 362
14, 181

∴ So the LCM of the given numbers is 2 x 14 x 181 = 5068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5068

Therefore, the GCF of Fractions 7834/28,8314/362 is 2/5068

Least Common Multiple of 28,362 with GCF Formula

Least Common Multiple of 28,362 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 28,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,362) = 2

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

GCF(28,362) x common factors =2 x 1 = 2

LCM(28,362) = ( 28 × 362 ) / 2

LCM(28,362) = 10136 / 2

LCM(28,362) = 5068


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 7834/28, 8314/362

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 7834/28, 8314/362?

Answer: GCF of Numerators as per given numbers 7834/28, 8314/362 is

GCF of Numerators i.e. for 7834,8314 is 2

LCM of denominators i.e. for 28,362 is 5068.

Thus, GCF of Fractions is 2/5068.Finally, GCF of Fractions for 7834/28, 8314/362 is 2/5068.