Greatest Common Factor of 9120/34, 9884/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9120/34, 9884/199

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 9120/34,9884/199

Given fractions are 9120/34,9884/199

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 9120,9884

Greatest Common Factor of Numerators i.e. GCF of 9120,9884 is 4 .

LCM of Denominators means LCM of 34,199 as per the given fractions.

LCM of 34,199 is 6766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9120,9884

GCF of Fractions 9120/34,9884/199 is 4/6766

2 9120, 9884
2 4560, 4942
2280, 2471

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9120,9884 By Matching Biggest Common Factor Method

Greatest Common Factor of 9120,9884 By Matching Biggest Common Factor Method

Factors of 9120

List of positive integer factors of 9120 that divides 9120 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,32,38,40,48,57,60,76,80,95,96,114,120,152,160,190,228,240,285,304,380,456,480,570,608,760,912,1140,1520,1824,2280,3040,4560,9120

Factors of 9884

List of positive integer factors of 9884 that divides 9884 without a remainder.

1,2,4,7,14,28,353,706,1412,2471,4942,9884

Greatest Common Factor

We found the factors 9120,9884 . The biggest common factor number is the GCF number.
So the greatest common factor 9120,9884 is 4.

Lets's calculate LCM of 34,199

Given numbers has no common factors except 1. So, there LCM is their product i.e 6766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6766

Therefore, the GCF of Fractions 9120/34,9884/199 is 4/6766

Least Common Multiple of 34,199 with GCF Formula

Least Common Multiple of 34,199 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 34,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,199) = 1

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

GCF(34,199) x common factors =1 x 1 = 1

LCM(34,199) = ( 34 × 199 ) / 1

LCM(34,199) = 6766 / 1

LCM(34,199) = 6766


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 9120/34, 9884/199

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 9120/34, 9884/199?

Answer: GCF of Numerators as per given numbers 9120/34, 9884/199 is

GCF of Numerators i.e. for 9120,9884 is 4

LCM of denominators i.e. for 34,199 is 6766.

Thus, GCF of Fractions is 4/6766.Finally, GCF of Fractions for 9120/34, 9884/199 is 4/6766.