Greatest Common Factor of 4329/704, 5690/7795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4329/704, 5690/7795

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 4329/704,5690/7795

Given fractions are 4329/704,5690/7795

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 4329,5690

Greatest Common Factor of Numerators i.e. GCF of 4329,5690 is 1 .

LCM of Denominators means LCM of 704,7795 as per the given fractions.

LCM of 704,7795 is 5487680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4329,5690

GCF of Fractions 4329/704,5690/7795 is 1/5487680

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

Greatest Common Factor of 4329,5690 By Matching Biggest Common Factor Method

Greatest Common Factor of 4329,5690 By Matching Biggest Common Factor Method

Factors of 4329

List of positive integer factors of 4329 that divides 4329 without a remainder.

1,3,9,13,37,39,111,117,333,481,1443,4329

Factors of 5690

List of positive integer factors of 5690 that divides 5690 without a remainder.

1,2,5,10,569,1138,2845,5690

Greatest Common Factor

We found the factors 4329,5690 . The biggest common factor number is the GCF number.
So the greatest common factor 4329,5690 is 1.

Lets's calculate LCM of 704,7795

Given numbers has no common factors except 1. So, there LCM is their product i.e 5487680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5487680

Therefore, the GCF of Fractions 4329/704,5690/7795 is 1/5487680

Least Common Multiple of 704,7795 with GCF Formula

Least Common Multiple of 704,7795 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 704,7795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,7795) = 1

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

GCF(704,7795) x common factors =1 x 1 = 1

LCM(704,7795) = ( 704 × 7795 ) / 1

LCM(704,7795) = 5487680 / 1

LCM(704,7795) = 5487680


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 4329/704, 5690/7795

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 4329/704, 5690/7795?

Answer: GCF of Numerators as per given numbers 4329/704, 5690/7795 is

GCF of Numerators i.e. for 4329,5690 is 1

LCM of denominators i.e. for 704,7795 is 5487680.

Thus, GCF of Fractions is 1/5487680.Finally, GCF of Fractions for 4329/704, 5690/7795 is 1/5487680.