Greatest Common Factor of 7224/293, 9100/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7224/293, 9100/353

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 7224/293,9100/353

Given fractions are 7224/293,9100/353

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 7224,9100

Greatest Common Factor of Numerators i.e. GCF of 7224,9100 is 28 .

LCM of Denominators means LCM of 293,353 as per the given fractions.

LCM of 293,353 is 103429 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7224,9100

GCF of Fractions 7224/293,9100/353 is 28/103429

2 7224, 9100
2 3612, 4550
7 1806, 2275
258, 325

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 7224,9100 By Matching Biggest Common Factor Method

Greatest Common Factor of 7224,9100 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 9100

List of positive integer factors of 9100 that divides 9100 without a remainder.

1,2,4,5,7,10,13,14,20,25,26,28,35,50,52,65,70,91,100,130,140,175,182,260,325,350,364,455,650,700,910,1300,1820,2275,4550,9100

Greatest Common Factor

We found the factors 7224,9100 . The biggest common factor number is the GCF number.
So the greatest common factor 7224,9100 is 28.

Lets's calculate LCM of 293,353

Given numbers has no common factors except 1. So, there LCM is their product i.e 103429

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/103429

Therefore, the GCF of Fractions 7224/293,9100/353 is 28/103429

Least Common Multiple of 293,353 with GCF Formula

Least Common Multiple of 293,353 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 293,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,353) = 1

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

GCF(293,353) x common factors =1 x 1 = 1

LCM(293,353) = ( 293 × 353 ) / 1

LCM(293,353) = 103429 / 1

LCM(293,353) = 103429


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 7224/293, 9100/353

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 7224/293, 9100/353?

Answer: GCF of Numerators as per given numbers 7224/293, 9100/353 is

GCF of Numerators i.e. for 7224,9100 is 28

LCM of denominators i.e. for 293,353 is 103429.

Thus, GCF of Fractions is 28/103429.Finally, GCF of Fractions for 7224/293, 9100/353 is 28/103429.