Greatest Common Factor of 4123/321, 7171/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4123/321, 7171/894

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 4123/321,7171/894

Given fractions are 4123/321,7171/894

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 4123,7171

Greatest Common Factor of Numerators i.e. GCF of 4123,7171 is 1 .

LCM of Denominators means LCM of 321,894 as per the given fractions.

LCM of 321,894 is 95658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4123,7171

GCF of Fractions 4123/321,7171/894 is 1/95658

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

Greatest Common Factor of 4123,7171 By Matching Biggest Common Factor Method

Greatest Common Factor of 4123,7171 By Matching Biggest Common Factor Method

Factors of 4123

List of positive integer factors of 4123 that divides 4123 without a remainder.

1,7,19,31,133,217,589,4123

Factors of 7171

List of positive integer factors of 7171 that divides 7171 without a remainder.

1,71,101,7171

Greatest Common Factor

We found the factors 4123,7171 . The biggest common factor number is the GCF number.
So the greatest common factor 4123,7171 is 1.

Lets's calculate LCM of 321,894

3 321, 894
107, 298

∴ So the LCM of the given numbers is 3 x 107 x 298 = 95658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95658

Therefore, the GCF of Fractions 4123/321,7171/894 is 1/95658

Least Common Multiple of 321,894 with GCF Formula

Least Common Multiple of 321,894 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 321,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,894) = 3

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

GCF(321,894) x common factors =3 x 1 = 3

LCM(321,894) = ( 321 × 894 ) / 3

LCM(321,894) = 286974 / 3

LCM(321,894) = 95658


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 4123/321, 7171/894

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 4123/321, 7171/894?

Answer: GCF of Numerators as per given numbers 4123/321, 7171/894 is

GCF of Numerators i.e. for 4123,7171 is 1

LCM of denominators i.e. for 321,894 is 95658.

Thus, GCF of Fractions is 1/95658.Finally, GCF of Fractions for 4123/321, 7171/894 is 1/95658.