Greatest Common Factor of 6771/478, 9953/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6771/478, 9953/318

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 6771/478,9953/318

Given fractions are 6771/478,9953/318

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 6771,9953

Greatest Common Factor of Numerators i.e. GCF of 6771,9953 is 37 .

LCM of Denominators means LCM of 478,318 as per the given fractions.

LCM of 478,318 is 76002 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6771,9953

GCF of Fractions 6771/478,9953/318 is 37/76002

37 6771, 9953
183, 269

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 6771,9953 By Matching Biggest Common Factor Method

Greatest Common Factor of 6771,9953 By Matching Biggest Common Factor Method

Factors of 6771

List of positive integer factors of 6771 that divides 6771 without a remainder.

1,3,37,61,111,183,2257,6771

Factors of 9953

List of positive integer factors of 9953 that divides 9953 without a remainder.

1,37,269,9953

Greatest Common Factor

We found the factors 6771,9953 . The biggest common factor number is the GCF number.
So the greatest common factor 6771,9953 is 37.

Lets's calculate LCM of 478,318

2 478, 318
239, 159

∴ So the LCM of the given numbers is 2 x 239 x 159 = 76002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/76002

Therefore, the GCF of Fractions 6771/478,9953/318 is 37/76002

Least Common Multiple of 478,318 with GCF Formula

Least Common Multiple of 478,318 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 478,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,318) = 2

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

GCF(478,318) x common factors =2 x 1 = 2

LCM(478,318) = ( 478 × 318 ) / 2

LCM(478,318) = 152004 / 2

LCM(478,318) = 76002


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 6771/478, 9953/318

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 6771/478, 9953/318?

Answer: GCF of Numerators as per given numbers 6771/478, 9953/318 is

GCF of Numerators i.e. for 6771,9953 is 37

LCM of denominators i.e. for 478,318 is 76002.

Thus, GCF of Fractions is 37/76002.Finally, GCF of Fractions for 6771/478, 9953/318 is 37/76002.