Greatest Common Factor of 7224/175, 9073/8981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7224/175, 9073/8981

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 7224/175,9073/8981

Given fractions are 7224/175,9073/8981

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 7224,9073

Greatest Common Factor of Numerators i.e. GCF of 7224,9073 is 43 .

LCM of Denominators means LCM of 175,8981 as per the given fractions.

LCM of 175,8981 is 224525 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7224,9073

GCF of Fractions 7224/175,9073/8981 is 43/224525

43 7224, 9073
168, 211

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

Greatest Common Factor of 7224,9073 By Matching Biggest Common Factor Method

Greatest Common Factor of 7224,9073 By Matching Biggest Common Factor Method

Factors of 7224

List of positive integer factors of 7224 that divides 7224 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,43,56,84,86,129,168,172,258,301,344,516,602,903,1032,1204,1806,2408,3612,7224

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 7224,9073 . The biggest common factor number is the GCF number.
So the greatest common factor 7224,9073 is 43.

Lets's calculate LCM of 175,8981

7 175, 8981
25, 1283

∴ So the LCM of the given numbers is 7 x 25 x 1283 = 224525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/224525

Therefore, the GCF of Fractions 7224/175,9073/8981 is 43/224525

Least Common Multiple of 175,8981 with GCF Formula

Least Common Multiple of 175,8981 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 175,8981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,8981) = 7

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

GCF(175,8981) x common factors =7 x 1 = 7

LCM(175,8981) = ( 175 × 8981 ) / 7

LCM(175,8981) = 1571675 / 7

LCM(175,8981) = 224525


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 7224/175, 9073/8981

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 7224/175, 9073/8981?

Answer: GCF of Numerators as per given numbers 7224/175, 9073/8981 is

GCF of Numerators i.e. for 7224,9073 is 43

LCM of denominators i.e. for 175,8981 is 224525.

Thus, GCF of Fractions is 43/224525.Finally, GCF of Fractions for 7224/175, 9073/8981 is 43/224525.