Greatest Common Factor of 4719/594, 4677/5168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4719/594, 4677/5168

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 4719/594,4677/5168

Given fractions are 4719/594,4677/5168

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 4719,4677

Greatest Common Factor of Numerators i.e. GCF of 4719,4677 is 3 .

LCM of Denominators means LCM of 594,5168 as per the given fractions.

LCM of 594,5168 is 1534896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4719,4677

GCF of Fractions 4719/594,4677/5168 is 3/1534896

3 4719, 4677
1573, 1559

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4719,4677 By Matching Biggest Common Factor Method

Greatest Common Factor of 4719,4677 By Matching Biggest Common Factor Method

Factors of 4719

List of positive integer factors of 4719 that divides 4719 without a remainder.

1,3,11,13,33,39,121,143,363,429,1573,4719

Factors of 4677

List of positive integer factors of 4677 that divides 4677 without a remainder.

1,3,1559,4677

Greatest Common Factor

We found the factors 4719,4677 . The biggest common factor number is the GCF number.
So the greatest common factor 4719,4677 is 3.

Lets's calculate LCM of 594,5168

2 594, 5168
297, 2584

∴ So the LCM of the given numbers is 2 x 297 x 2584 = 1534896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1534896

Therefore, the GCF of Fractions 4719/594,4677/5168 is 3/1534896

Least Common Multiple of 594,5168 with GCF Formula

Least Common Multiple of 594,5168 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 594,5168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,5168) = 2

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

GCF(594,5168) x common factors =2 x 1 = 2

LCM(594,5168) = ( 594 × 5168 ) / 2

LCM(594,5168) = 3069792 / 2

LCM(594,5168) = 1534896


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 4719/594, 4677/5168

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 4719/594, 4677/5168?

Answer: GCF of Numerators as per given numbers 4719/594, 4677/5168 is

GCF of Numerators i.e. for 4719,4677 is 3

LCM of denominators i.e. for 594,5168 is 1534896.

Thus, GCF of Fractions is 3/1534896.Finally, GCF of Fractions for 4719/594, 4677/5168 is 3/1534896.