Greatest Common Factor of 4303/184, 1070/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4303/184, 1070/806

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 4303/184,1070/806

Given fractions are 4303/184,1070/806

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 4303,1070

Greatest Common Factor of Numerators i.e. GCF of 4303,1070 is 1 .

LCM of Denominators means LCM of 184,806 as per the given fractions.

LCM of 184,806 is 74152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4303,1070

GCF of Fractions 4303/184,1070/806 is 1/74152

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

Greatest Common Factor of 4303,1070 By Matching Biggest Common Factor Method

Greatest Common Factor of 4303,1070 By Matching Biggest Common Factor Method

Factors of 4303

List of positive integer factors of 4303 that divides 4303 without a remainder.

1,13,331,4303

Factors of 1070

List of positive integer factors of 1070 that divides 1070 without a remainder.

1,2,5,10,107,214,535,1070

Greatest Common Factor

We found the factors 4303,1070 . The biggest common factor number is the GCF number.
So the greatest common factor 4303,1070 is 1.

Lets's calculate LCM of 184,806

2 184, 806
92, 403

∴ So the LCM of the given numbers is 2 x 92 x 403 = 74152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74152

Therefore, the GCF of Fractions 4303/184,1070/806 is 1/74152

Least Common Multiple of 184,806 with GCF Formula

Least Common Multiple of 184,806 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 184,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,806) = 2

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

GCF(184,806) x common factors =2 x 1 = 2

LCM(184,806) = ( 184 × 806 ) / 2

LCM(184,806) = 148304 / 2

LCM(184,806) = 74152


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 4303/184, 1070/806

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 4303/184, 1070/806?

Answer: GCF of Numerators as per given numbers 4303/184, 1070/806 is

GCF of Numerators i.e. for 4303,1070 is 1

LCM of denominators i.e. for 184,806 is 74152.

Thus, GCF of Fractions is 1/74152.Finally, GCF of Fractions for 4303/184, 1070/806 is 1/74152.