Greatest Common Factor of 9815/305, 6468/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9815/305, 6468/176

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 9815/305,6468/176

Given fractions are 9815/305,6468/176

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 9815,6468

Greatest Common Factor of Numerators i.e. GCF of 9815,6468 is 1 .

LCM of Denominators means LCM of 305,176 as per the given fractions.

LCM of 305,176 is 53680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9815,6468

GCF of Fractions 9815/305,6468/176 is 1/53680

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

Greatest Common Factor of 9815,6468 By Matching Biggest Common Factor Method

Greatest Common Factor of 9815,6468 By Matching Biggest Common Factor Method

Factors of 9815

List of positive integer factors of 9815 that divides 9815 without a remainder.

1,5,13,65,151,755,1963,9815

Factors of 6468

List of positive integer factors of 6468 that divides 6468 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,49,66,77,84,98,132,147,154,196,231,294,308,462,539,588,924,1078,1617,2156,3234,6468

Greatest Common Factor

We found the factors 9815,6468 . The biggest common factor number is the GCF number.
So the greatest common factor 9815,6468 is 1.

Lets's calculate LCM of 305,176

Given numbers has no common factors except 1. So, there LCM is their product i.e 53680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53680

Therefore, the GCF of Fractions 9815/305,6468/176 is 1/53680

Least Common Multiple of 305,176 with GCF Formula

Least Common Multiple of 305,176 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 305,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,176) = 1

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

GCF(305,176) x common factors =1 x 1 = 1

LCM(305,176) = ( 305 × 176 ) / 1

LCM(305,176) = 53680 / 1

LCM(305,176) = 53680


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 9815/305, 6468/176

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 9815/305, 6468/176?

Answer: GCF of Numerators as per given numbers 9815/305, 6468/176 is

GCF of Numerators i.e. for 9815,6468 is 1

LCM of denominators i.e. for 305,176 is 53680.

Thus, GCF of Fractions is 1/53680.Finally, GCF of Fractions for 9815/305, 6468/176 is 1/53680.