Greatest Common Factor of 4419/24, 6797/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4419/24, 6797/174

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 4419/24,6797/174

Given fractions are 4419/24,6797/174

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 4419,6797

Greatest Common Factor of Numerators i.e. GCF of 4419,6797 is 1 .

LCM of Denominators means LCM of 24,174 as per the given fractions.

LCM of 24,174 is 696 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4419,6797

GCF of Fractions 4419/24,6797/174 is 1/696

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

Greatest Common Factor of 4419,6797 By Matching Biggest Common Factor Method

Greatest Common Factor of 4419,6797 By Matching Biggest Common Factor Method

Factors of 4419

List of positive integer factors of 4419 that divides 4419 without a remainder.

1,3,9,491,1473,4419

Factors of 6797

List of positive integer factors of 6797 that divides 6797 without a remainder.

1,7,971,6797

Greatest Common Factor

We found the factors 4419,6797 . The biggest common factor number is the GCF number.
So the greatest common factor 4419,6797 is 1.

Lets's calculate LCM of 24,174

2 24, 174
3 12, 87
4, 29

∴ So the LCM of the given numbers is 2 x 3 x 4 x 29 = 696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/696

Therefore, the GCF of Fractions 4419/24,6797/174 is 1/696

Least Common Multiple of 24,174 with GCF Formula

Least Common Multiple of 24,174 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 24,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,174) = 6

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

GCF(24,174) x common factors =6 x 1 = 6

LCM(24,174) = ( 24 × 174 ) / 6

LCM(24,174) = 4176 / 6

LCM(24,174) = 696


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 4419/24, 6797/174

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 4419/24, 6797/174?

Answer: GCF of Numerators as per given numbers 4419/24, 6797/174 is

GCF of Numerators i.e. for 4419,6797 is 1

LCM of denominators i.e. for 24,174 is 696.

Thus, GCF of Fractions is 1/696.Finally, GCF of Fractions for 4419/24, 6797/174 is 1/696.