Greatest Common Factor of 7803/463, 5948/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7803/463, 5948/655

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 7803/463,5948/655

Given fractions are 7803/463,5948/655

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 7803,5948

Greatest Common Factor of Numerators i.e. GCF of 7803,5948 is 1 .

LCM of Denominators means LCM of 463,655 as per the given fractions.

LCM of 463,655 is 303265 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7803,5948

GCF of Fractions 7803/463,5948/655 is 1/303265

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

Greatest Common Factor of 7803,5948 By Matching Biggest Common Factor Method

Greatest Common Factor of 7803,5948 By Matching Biggest Common Factor Method

Factors of 7803

List of positive integer factors of 7803 that divides 7803 without a remainder.

1,3,9,17,27,51,153,289,459,867,2601,7803

Factors of 5948

List of positive integer factors of 5948 that divides 5948 without a remainder.

1,2,4,1487,2974,5948

Greatest Common Factor

We found the factors 7803,5948 . The biggest common factor number is the GCF number.
So the greatest common factor 7803,5948 is 1.

Lets's calculate LCM of 463,655

Given numbers has no common factors except 1. So, there LCM is their product i.e 303265

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/303265

Therefore, the GCF of Fractions 7803/463,5948/655 is 1/303265

Least Common Multiple of 463,655 with GCF Formula

Least Common Multiple of 463,655 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 463,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,655) = 1

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

GCF(463,655) x common factors =1 x 1 = 1

LCM(463,655) = ( 463 × 655 ) / 1

LCM(463,655) = 303265 / 1

LCM(463,655) = 303265


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 7803/463, 5948/655

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 7803/463, 5948/655?

Answer: GCF of Numerators as per given numbers 7803/463, 5948/655 is

GCF of Numerators i.e. for 7803,5948 is 1

LCM of denominators i.e. for 463,655 is 303265.

Thus, GCF of Fractions is 1/303265.Finally, GCF of Fractions for 7803/463, 5948/655 is 1/303265.