Greatest Common Factor of 9849/328, 8250/7585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9849/328, 8250/7585

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 9849/328,8250/7585

Given fractions are 9849/328,8250/7585

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 9849,8250

Greatest Common Factor of Numerators i.e. GCF of 9849,8250 is 3 .

LCM of Denominators means LCM of 328,7585 as per the given fractions.

LCM of 328,7585 is 60680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9849,8250

GCF of Fractions 9849/328,8250/7585 is 3/60680

3 9849, 8250
3283, 2750

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

Greatest Common Factor of 9849,8250 By Matching Biggest Common Factor Method

Greatest Common Factor of 9849,8250 By Matching Biggest Common Factor Method

Factors of 9849

List of positive integer factors of 9849 that divides 9849 without a remainder.

1,3,7,21,49,67,147,201,469,1407,3283,9849

Factors of 8250

List of positive integer factors of 8250 that divides 8250 without a remainder.

1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,125,150,165,250,275,330,375,550,750,825,1375,1650,2750,4125,8250

Greatest Common Factor

We found the factors 9849,8250 . The biggest common factor number is the GCF number.
So the greatest common factor 9849,8250 is 3.

Lets's calculate LCM of 328,7585

41 328, 7585
8, 185

∴ So the LCM of the given numbers is 41 x 8 x 185 = 60680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/60680

Therefore, the GCF of Fractions 9849/328,8250/7585 is 3/60680

Least Common Multiple of 328,7585 with GCF Formula

Least Common Multiple of 328,7585 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 328,7585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,7585) = 41

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

GCF(328,7585) x common factors =41 x 1 = 41

LCM(328,7585) = ( 328 × 7585 ) / 41

LCM(328,7585) = 2487880 / 41

LCM(328,7585) = 60680


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 9849/328, 8250/7585

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 9849/328, 8250/7585?

Answer: GCF of Numerators as per given numbers 9849/328, 8250/7585 is

GCF of Numerators i.e. for 9849,8250 is 3

LCM of denominators i.e. for 328,7585 is 60680.

Thus, GCF of Fractions is 3/60680.Finally, GCF of Fractions for 9849/328, 8250/7585 is 3/60680.