Greatest Common Factor of 4350/15, 9599/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4350/15, 9599/734

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 4350/15,9599/734

Given fractions are 4350/15,9599/734

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 4350,9599

Greatest Common Factor of Numerators i.e. GCF of 4350,9599 is 29 .

LCM of Denominators means LCM of 15,734 as per the given fractions.

LCM of 15,734 is 11010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4350,9599

GCF of Fractions 4350/15,9599/734 is 29/11010

29 4350, 9599
150, 331

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 4350,9599 By Matching Biggest Common Factor Method

Greatest Common Factor of 4350,9599 By Matching Biggest Common Factor Method

Factors of 4350

List of positive integer factors of 4350 that divides 4350 without a remainder.

1,2,3,5,6,10,15,25,29,30,50,58,75,87,145,150,174,290,435,725,870,1450,2175,4350

Factors of 9599

List of positive integer factors of 9599 that divides 9599 without a remainder.

1,29,331,9599

Greatest Common Factor

We found the factors 4350,9599 . The biggest common factor number is the GCF number.
So the greatest common factor 4350,9599 is 29.

Lets's calculate LCM of 15,734

Given numbers has no common factors except 1. So, there LCM is their product i.e 11010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/11010

Therefore, the GCF of Fractions 4350/15,9599/734 is 29/11010

Least Common Multiple of 15,734 with GCF Formula

Least Common Multiple of 15,734 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 15,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,734) = 1

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

GCF(15,734) x common factors =1 x 1 = 1

LCM(15,734) = ( 15 × 734 ) / 1

LCM(15,734) = 11010 / 1

LCM(15,734) = 11010


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 4350/15, 9599/734

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 4350/15, 9599/734?

Answer: GCF of Numerators as per given numbers 4350/15, 9599/734 is

GCF of Numerators i.e. for 4350,9599 is 29

LCM of denominators i.e. for 15,734 is 11010.

Thus, GCF of Fractions is 29/11010.Finally, GCF of Fractions for 4350/15, 9599/734 is 29/11010.