Greatest Common Factor of 5746/318, 9646/5735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5746/318, 9646/5735

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 5746/318,9646/5735

Given fractions are 5746/318,9646/5735

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 5746,9646

Greatest Common Factor of Numerators i.e. GCF of 5746,9646 is 26 .

LCM of Denominators means LCM of 318,5735 as per the given fractions.

LCM of 318,5735 is 1823730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5746,9646

GCF of Fractions 5746/318,9646/5735 is 26/1823730

2 5746, 9646
13 2873, 4823
221, 371

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 5746,9646 By Matching Biggest Common Factor Method

Greatest Common Factor of 5746,9646 By Matching Biggest Common Factor Method

Factors of 5746

List of positive integer factors of 5746 that divides 5746 without a remainder.

1,2,13,17,26,34,169,221,338,442,2873,5746

Factors of 9646

List of positive integer factors of 9646 that divides 9646 without a remainder.

1,2,7,13,14,26,53,91,106,182,371,689,742,1378,4823,9646

Greatest Common Factor

We found the factors 5746,9646 . The biggest common factor number is the GCF number.
So the greatest common factor 5746,9646 is 26.

Lets's calculate LCM of 318,5735

Given numbers has no common factors except 1. So, there LCM is their product i.e 1823730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/1823730

Therefore, the GCF of Fractions 5746/318,9646/5735 is 26/1823730

Least Common Multiple of 318,5735 with GCF Formula

Least Common Multiple of 318,5735 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 318,5735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,5735) = 1

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

GCF(318,5735) x common factors =1 x 1 = 1

LCM(318,5735) = ( 318 × 5735 ) / 1

LCM(318,5735) = 1823730 / 1

LCM(318,5735) = 1823730


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 5746/318, 9646/5735

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 5746/318, 9646/5735?

Answer: GCF of Numerators as per given numbers 5746/318, 9646/5735 is

GCF of Numerators i.e. for 5746,9646 is 26

LCM of denominators i.e. for 318,5735 is 1823730.

Thus, GCF of Fractions is 26/1823730.Finally, GCF of Fractions for 5746/318, 9646/5735 is 26/1823730.