Greatest Common Factor of 4359/569, 4899/6943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4359/569, 4899/6943

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 4359/569,4899/6943

Given fractions are 4359/569,4899/6943

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 4359,4899

Greatest Common Factor of Numerators i.e. GCF of 4359,4899 is 3 .

LCM of Denominators means LCM of 569,6943 as per the given fractions.

LCM of 569,6943 is 3950567 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4359,4899

GCF of Fractions 4359/569,4899/6943 is 3/3950567

3 4359, 4899
1453, 1633

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

Greatest Common Factor of 4359,4899 By Matching Biggest Common Factor Method

Greatest Common Factor of 4359,4899 By Matching Biggest Common Factor Method

Factors of 4359

List of positive integer factors of 4359 that divides 4359 without a remainder.

1,3,1453,4359

Factors of 4899

List of positive integer factors of 4899 that divides 4899 without a remainder.

1,3,23,69,71,213,1633,4899

Greatest Common Factor

We found the factors 4359,4899 . The biggest common factor number is the GCF number.
So the greatest common factor 4359,4899 is 3.

Lets's calculate LCM of 569,6943

Given numbers has no common factors except 1. So, there LCM is their product i.e 3950567

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3950567

Therefore, the GCF of Fractions 4359/569,4899/6943 is 3/3950567

Least Common Multiple of 569,6943 with GCF Formula

Least Common Multiple of 569,6943 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 569,6943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,6943) = 1

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

GCF(569,6943) x common factors =1 x 1 = 1

LCM(569,6943) = ( 569 × 6943 ) / 1

LCM(569,6943) = 3950567 / 1

LCM(569,6943) = 3950567


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 4359/569, 4899/6943

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 4359/569, 4899/6943?

Answer: GCF of Numerators as per given numbers 4359/569, 4899/6943 is

GCF of Numerators i.e. for 4359,4899 is 3

LCM of denominators i.e. for 569,6943 is 3950567.

Thus, GCF of Fractions is 3/3950567.Finally, GCF of Fractions for 4359/569, 4899/6943 is 3/3950567.