Greatest Common Factor of 9996/538, 5075/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9996/538, 5075/919

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 9996/538,5075/919

Given fractions are 9996/538,5075/919

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 9996,5075

Greatest Common Factor of Numerators i.e. GCF of 9996,5075 is 7 .

LCM of Denominators means LCM of 538,919 as per the given fractions.

LCM of 538,919 is 494422 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9996,5075

GCF of Fractions 9996/538,5075/919 is 7/494422

7 9996, 5075
1428, 725

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 9996,5075 By Matching Biggest Common Factor Method

Greatest Common Factor of 9996,5075 By Matching Biggest Common Factor Method

Factors of 9996

List of positive integer factors of 9996 that divides 9996 without a remainder.

1,2,3,4,6,7,12,14,17,21,28,34,42,49,51,68,84,98,102,119,147,196,204,238,294,357,476,588,714,833,1428,1666,2499,3332,4998,9996

Factors of 5075

List of positive integer factors of 5075 that divides 5075 without a remainder.

1,5,7,25,29,35,145,175,203,725,1015,5075

Greatest Common Factor

We found the factors 9996,5075 . The biggest common factor number is the GCF number.
So the greatest common factor 9996,5075 is 7.

Lets's calculate LCM of 538,919

Given numbers has no common factors except 1. So, there LCM is their product i.e 494422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/494422

Therefore, the GCF of Fractions 9996/538,5075/919 is 7/494422

Least Common Multiple of 538,919 with GCF Formula

Least Common Multiple of 538,919 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 538,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,919) = 1

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

GCF(538,919) x common factors =1 x 1 = 1

LCM(538,919) = ( 538 × 919 ) / 1

LCM(538,919) = 494422 / 1

LCM(538,919) = 494422


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 9996/538, 5075/919

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 9996/538, 5075/919?

Answer: GCF of Numerators as per given numbers 9996/538, 5075/919 is

GCF of Numerators i.e. for 9996,5075 is 7

LCM of denominators i.e. for 538,919 is 494422.

Thus, GCF of Fractions is 7/494422.Finally, GCF of Fractions for 9996/538, 5075/919 is 7/494422.