Greatest Common Factor of 9298/429, 9208/5232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9298/429, 9208/5232

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 9298/429,9208/5232

Given fractions are 9298/429,9208/5232

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 9298,9208

Greatest Common Factor of Numerators i.e. GCF of 9298,9208 is 2 .

LCM of Denominators means LCM of 429,5232 as per the given fractions.

LCM of 429,5232 is 748176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9298,9208

GCF of Fractions 9298/429,9208/5232 is 2/748176

2 9298, 9208
4649, 4604

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9298,9208 By Matching Biggest Common Factor Method

Greatest Common Factor of 9298,9208 By Matching Biggest Common Factor Method

Factors of 9298

List of positive integer factors of 9298 that divides 9298 without a remainder.

1,2,4649,9298

Factors of 9208

List of positive integer factors of 9208 that divides 9208 without a remainder.

1,2,4,8,1151,2302,4604,9208

Greatest Common Factor

We found the factors 9298,9208 . The biggest common factor number is the GCF number.
So the greatest common factor 9298,9208 is 2.

Lets's calculate LCM of 429,5232

3 429, 5232
143, 1744

∴ So the LCM of the given numbers is 3 x 143 x 1744 = 748176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/748176

Therefore, the GCF of Fractions 9298/429,9208/5232 is 2/748176

Least Common Multiple of 429,5232 with GCF Formula

Least Common Multiple of 429,5232 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 429,5232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,5232) = 3

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

GCF(429,5232) x common factors =3 x 1 = 3

LCM(429,5232) = ( 429 × 5232 ) / 3

LCM(429,5232) = 2244528 / 3

LCM(429,5232) = 748176


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9298/429, 9208/5232

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 9298/429, 9208/5232?

Answer: GCF of Numerators as per given numbers 9298/429, 9208/5232 is

GCF of Numerators i.e. for 9298,9208 is 2

LCM of denominators i.e. for 429,5232 is 748176.

Thus, GCF of Fractions is 2/748176.Finally, GCF of Fractions for 9298/429, 9208/5232 is 2/748176.