Greatest Common Factor of 471/309, 7889/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 471/309, 7889/105

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 471/309,7889/105

Given fractions are 471/309,7889/105

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 471,7889

Greatest Common Factor of Numerators i.e. GCF of 471,7889 is 1 .

LCM of Denominators means LCM of 309,105 as per the given fractions.

LCM of 309,105 is 10815 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 471,7889

GCF of Fractions 471/309,7889/105 is 1/10815

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

Greatest Common Factor of 471,7889 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,7889 By Matching Biggest Common Factor Method

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 7889

List of positive integer factors of 7889 that divides 7889 without a remainder.

1,7,23,49,161,343,1127,7889

Greatest Common Factor

We found the factors 471,7889 . The biggest common factor number is the GCF number.
So the greatest common factor 471,7889 is 1.

Lets's calculate LCM of 309,105

3 309, 105
103, 35

∴ So the LCM of the given numbers is 3 x 103 x 35 = 10815

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10815

Therefore, the GCF of Fractions 471/309,7889/105 is 1/10815

Least Common Multiple of 309,105 with GCF Formula

Least Common Multiple of 309,105 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 309,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,105) = 3

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

GCF(309,105) x common factors =3 x 1 = 3

LCM(309,105) = ( 309 × 105 ) / 3

LCM(309,105) = 32445 / 3

LCM(309,105) = 10815


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 471/309, 7889/105

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 471/309, 7889/105?

Answer: GCF of Numerators as per given numbers 471/309, 7889/105 is

GCF of Numerators i.e. for 471,7889 is 1

LCM of denominators i.e. for 309,105 is 10815.

Thus, GCF of Fractions is 1/10815.Finally, GCF of Fractions for 471/309, 7889/105 is 1/10815.