Greatest Common Factor of 8398/118, 9550/3244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8398/118, 9550/3244

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 8398/118,9550/3244

Given fractions are 8398/118,9550/3244

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 8398,9550

Greatest Common Factor of Numerators i.e. GCF of 8398,9550 is 2 .

LCM of Denominators means LCM of 118,3244 as per the given fractions.

LCM of 118,3244 is 191396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8398,9550

GCF of Fractions 8398/118,9550/3244 is 2/191396

2 8398, 9550
4199, 4775

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

Greatest Common Factor of 8398,9550 By Matching Biggest Common Factor Method

Greatest Common Factor of 8398,9550 By Matching Biggest Common Factor Method

Factors of 8398

List of positive integer factors of 8398 that divides 8398 without a remainder.

1,2,13,17,19,26,34,38,221,247,323,442,494,646,4199,8398

Factors of 9550

List of positive integer factors of 9550 that divides 9550 without a remainder.

1,2,5,10,25,50,191,382,955,1910,4775,9550

Greatest Common Factor

We found the factors 8398,9550 . The biggest common factor number is the GCF number.
So the greatest common factor 8398,9550 is 2.

Lets's calculate LCM of 118,3244

2 118, 3244
59, 1622

∴ So the LCM of the given numbers is 2 x 59 x 1622 = 191396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/191396

Therefore, the GCF of Fractions 8398/118,9550/3244 is 2/191396

Least Common Multiple of 118,3244 with GCF Formula

Least Common Multiple of 118,3244 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 118,3244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(118,3244) = 2

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

GCF(118,3244) x common factors =2 x 1 = 2

LCM(118,3244) = ( 118 × 3244 ) / 2

LCM(118,3244) = 382792 / 2

LCM(118,3244) = 191396


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 8398/118, 9550/3244

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 8398/118, 9550/3244?

Answer: GCF of Numerators as per given numbers 8398/118, 9550/3244 is

GCF of Numerators i.e. for 8398,9550 is 2

LCM of denominators i.e. for 118,3244 is 191396.

Thus, GCF of Fractions is 2/191396.Finally, GCF of Fractions for 8398/118, 9550/3244 is 2/191396.