Greatest Common Factor of 4251/781, 8143/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4251/781, 8143/312

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 4251/781,8143/312

Given fractions are 4251/781,8143/312

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 4251,8143

Greatest Common Factor of Numerators i.e. GCF of 4251,8143 is 1 .

LCM of Denominators means LCM of 781,312 as per the given fractions.

LCM of 781,312 is 243672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4251,8143

GCF of Fractions 4251/781,8143/312 is 1/243672

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

Greatest Common Factor of 4251,8143 By Matching Biggest Common Factor Method

Greatest Common Factor of 4251,8143 By Matching Biggest Common Factor Method

Factors of 4251

List of positive integer factors of 4251 that divides 4251 without a remainder.

1,3,13,39,109,327,1417,4251

Factors of 8143

List of positive integer factors of 8143 that divides 8143 without a remainder.

1,17,479,8143

Greatest Common Factor

We found the factors 4251,8143 . The biggest common factor number is the GCF number.
So the greatest common factor 4251,8143 is 1.

Lets's calculate LCM of 781,312

Given numbers has no common factors except 1. So, there LCM is their product i.e 243672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243672

Therefore, the GCF of Fractions 4251/781,8143/312 is 1/243672

Least Common Multiple of 781,312 with GCF Formula

Least Common Multiple of 781,312 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 781,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(781,312) = 1

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

GCF(781,312) x common factors =1 x 1 = 1

LCM(781,312) = ( 781 × 312 ) / 1

LCM(781,312) = 243672 / 1

LCM(781,312) = 243672


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 4251/781, 8143/312

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 4251/781, 8143/312?

Answer: GCF of Numerators as per given numbers 4251/781, 8143/312 is

GCF of Numerators i.e. for 4251,8143 is 1

LCM of denominators i.e. for 781,312 is 243672.

Thus, GCF of Fractions is 1/243672.Finally, GCF of Fractions for 4251/781, 8143/312 is 1/243672.