Greatest Common Factor of 1278/68, 4305/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1278/68, 4305/807

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 1278/68,4305/807

Given fractions are 1278/68,4305/807

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 1278,4305

Greatest Common Factor of Numerators i.e. GCF of 1278,4305 is 3 .

LCM of Denominators means LCM of 68,807 as per the given fractions.

LCM of 68,807 is 54876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1278,4305

GCF of Fractions 1278/68,4305/807 is 3/54876

3 1278, 4305
426, 1435

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1278,4305 By Matching Biggest Common Factor Method

Greatest Common Factor of 1278,4305 By Matching Biggest Common Factor Method

Factors of 1278

List of positive integer factors of 1278 that divides 1278 without a remainder.

1,2,3,6,9,18,71,142,213,426,639,1278

Factors of 4305

List of positive integer factors of 4305 that divides 4305 without a remainder.

1,3,5,7,15,21,35,41,105,123,205,287,615,861,1435,4305

Greatest Common Factor

We found the factors 1278,4305 . The biggest common factor number is the GCF number.
So the greatest common factor 1278,4305 is 3.

Lets's calculate LCM of 68,807

Given numbers has no common factors except 1. So, there LCM is their product i.e 54876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/54876

Therefore, the GCF of Fractions 1278/68,4305/807 is 3/54876

Least Common Multiple of 68,807 with GCF Formula

Least Common Multiple of 68,807 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 68,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,807) = 1

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

GCF(68,807) x common factors =1 x 1 = 1

LCM(68,807) = ( 68 × 807 ) / 1

LCM(68,807) = 54876 / 1

LCM(68,807) = 54876


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 1278/68, 4305/807

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 1278/68, 4305/807?

Answer: GCF of Numerators as per given numbers 1278/68, 4305/807 is

GCF of Numerators i.e. for 1278,4305 is 3

LCM of denominators i.e. for 68,807 is 54876.

Thus, GCF of Fractions is 3/54876.Finally, GCF of Fractions for 1278/68, 4305/807 is 3/54876.