Greatest Common Factor of 5707/96, 3186/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5707/96, 3186/258

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 5707/96,3186/258

Given fractions are 5707/96,3186/258

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 5707,3186

Greatest Common Factor of Numerators i.e. GCF of 5707,3186 is 1 .

LCM of Denominators means LCM of 96,258 as per the given fractions.

LCM of 96,258 is 4128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5707,3186

GCF of Fractions 5707/96,3186/258 is 1/4128

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

Greatest Common Factor of 5707,3186 By Matching Biggest Common Factor Method

Greatest Common Factor of 5707,3186 By Matching Biggest Common Factor Method

Factors of 5707

List of positive integer factors of 5707 that divides 5707 without a remainder.

1,13,439,5707

Factors of 3186

List of positive integer factors of 3186 that divides 3186 without a remainder.

1,2,3,6,9,18,27,54,59,118,177,354,531,1062,1593,3186

Greatest Common Factor

We found the factors 5707,3186 . The biggest common factor number is the GCF number.
So the greatest common factor 5707,3186 is 1.

Lets's calculate LCM of 96,258

2 96, 258
3 48, 129
16, 43

∴ So the LCM of the given numbers is 2 x 3 x 16 x 43 = 4128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4128

Therefore, the GCF of Fractions 5707/96,3186/258 is 1/4128

Least Common Multiple of 96,258 with GCF Formula

Least Common Multiple of 96,258 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 96,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,258) = 6

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

GCF(96,258) x common factors =6 x 1 = 6

LCM(96,258) = ( 96 × 258 ) / 6

LCM(96,258) = 24768 / 6

LCM(96,258) = 4128


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 5707/96, 3186/258

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 5707/96, 3186/258?

Answer: GCF of Numerators as per given numbers 5707/96, 3186/258 is

GCF of Numerators i.e. for 5707,3186 is 1

LCM of denominators i.e. for 96,258 is 4128.

Thus, GCF of Fractions is 1/4128.Finally, GCF of Fractions for 5707/96, 3186/258 is 1/4128.