Greatest Common Factor of 8314/978, 5785/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8314/978, 5785/234

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 8314/978,5785/234

Given fractions are 8314/978,5785/234

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 8314,5785

Greatest Common Factor of Numerators i.e. GCF of 8314,5785 is 1 .

LCM of Denominators means LCM of 978,234 as per the given fractions.

LCM of 978,234 is 38142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8314,5785

GCF of Fractions 8314/978,5785/234 is 1/38142

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

Greatest Common Factor of 8314,5785 By Matching Biggest Common Factor Method

Greatest Common Factor of 8314,5785 By Matching Biggest Common Factor Method

Factors of 8314

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

1,2,4157,8314

Factors of 5785

List of positive integer factors of 5785 that divides 5785 without a remainder.

1,5,13,65,89,445,1157,5785

Greatest Common Factor

We found the factors 8314,5785 . The biggest common factor number is the GCF number.
So the greatest common factor 8314,5785 is 1.

Lets's calculate LCM of 978,234

2 978, 234
3 489, 117
163, 39

∴ So the LCM of the given numbers is 2 x 3 x 163 x 39 = 38142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38142

Therefore, the GCF of Fractions 8314/978,5785/234 is 1/38142

Least Common Multiple of 978,234 with GCF Formula

Least Common Multiple of 978,234 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 978,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,234) = 6

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

GCF(978,234) x common factors =6 x 1 = 6

LCM(978,234) = ( 978 × 234 ) / 6

LCM(978,234) = 228852 / 6

LCM(978,234) = 38142


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 8314/978, 5785/234

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 8314/978, 5785/234?

Answer: GCF of Numerators as per given numbers 8314/978, 5785/234 is

GCF of Numerators i.e. for 8314,5785 is 1

LCM of denominators i.e. for 978,234 is 38142.

Thus, GCF of Fractions is 1/38142.Finally, GCF of Fractions for 8314/978, 5785/234 is 1/38142.