Greatest Common Factor of 9675/69, 9073/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9675/69, 9073/750

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 9675/69,9073/750

Given fractions are 9675/69,9073/750

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 9675,9073

Greatest Common Factor of Numerators i.e. GCF of 9675,9073 is 43 .

LCM of Denominators means LCM of 69,750 as per the given fractions.

LCM of 69,750 is 17250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9675,9073

GCF of Fractions 9675/69,9073/750 is 43/17250

43 9675, 9073
225, 211

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 9675,9073 By Matching Biggest Common Factor Method

Greatest Common Factor of 9675,9073 By Matching Biggest Common Factor Method

Factors of 9675

List of positive integer factors of 9675 that divides 9675 without a remainder.

1,3,5,9,15,25,43,45,75,129,215,225,387,645,1075,1935,3225,9675

Factors of 9073

List of positive integer factors of 9073 that divides 9073 without a remainder.

1,43,211,9073

Greatest Common Factor

We found the factors 9675,9073 . The biggest common factor number is the GCF number.
So the greatest common factor 9675,9073 is 43.

Lets's calculate LCM of 69,750

3 69, 750
23, 250

∴ So the LCM of the given numbers is 3 x 23 x 250 = 17250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/17250

Therefore, the GCF of Fractions 9675/69,9073/750 is 43/17250

Least Common Multiple of 69,750 with GCF Formula

Least Common Multiple of 69,750 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 69,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,750) = 3

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

GCF(69,750) x common factors =3 x 1 = 3

LCM(69,750) = ( 69 × 750 ) / 3

LCM(69,750) = 51750 / 3

LCM(69,750) = 17250


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 9675/69, 9073/750

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 9675/69, 9073/750?

Answer: GCF of Numerators as per given numbers 9675/69, 9073/750 is

GCF of Numerators i.e. for 9675,9073 is 43

LCM of denominators i.e. for 69,750 is 17250.

Thus, GCF of Fractions is 43/17250.Finally, GCF of Fractions for 9675/69, 9073/750 is 43/17250.