Greatest Common Factor of 75/867, 9991/4125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/867, 9991/4125

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 75/867,9991/4125

Given fractions are 75/867,9991/4125

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 75,9991

Greatest Common Factor of Numerators i.e. GCF of 75,9991 is 1 .

LCM of Denominators means LCM of 867,4125 as per the given fractions.

LCM of 867,4125 is 1192125 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,9991

GCF of Fractions 75/867,9991/4125 is 1/1192125

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 75,9991 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,9991 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 9991

List of positive integer factors of 9991 that divides 9991 without a remainder.

1,97,103,9991

Greatest Common Factor

We found the factors 75,9991 . The biggest common factor number is the GCF number.
So the greatest common factor 75,9991 is 1.

Lets's calculate LCM of 867,4125

3 867, 4125
289, 1375

∴ So the LCM of the given numbers is 3 x 289 x 1375 = 1192125

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1192125

Therefore, the GCF of Fractions 75/867,9991/4125 is 1/1192125

Least Common Multiple of 867,4125 with GCF Formula

Least Common Multiple of 867,4125 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 867,4125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,4125) = 3

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

GCF(867,4125) x common factors =3 x 1 = 3

LCM(867,4125) = ( 867 × 4125 ) / 3

LCM(867,4125) = 3576375 / 3

LCM(867,4125) = 1192125


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 75/867, 9991/4125

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 75/867, 9991/4125?

Answer: GCF of Numerators as per given numbers 75/867, 9991/4125 is

GCF of Numerators i.e. for 75,9991 is 1

LCM of denominators i.e. for 867,4125 is 1192125.

Thus, GCF of Fractions is 1/1192125.Finally, GCF of Fractions for 75/867, 9991/4125 is 1/1192125.