Greatest Common Factor of 7267/148, 3999/863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7267/148, 3999/863

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 7267/148,3999/863

Given fractions are 7267/148,3999/863

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 7267,3999

Greatest Common Factor of Numerators i.e. GCF of 7267,3999 is 43 .

LCM of Denominators means LCM of 148,863 as per the given fractions.

LCM of 148,863 is 127724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7267,3999

GCF of Fractions 7267/148,3999/863 is 43/127724

43 7267, 3999
169, 93

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 7267,3999 By Matching Biggest Common Factor Method

Greatest Common Factor of 7267,3999 By Matching Biggest Common Factor Method

Factors of 7267

List of positive integer factors of 7267 that divides 7267 without a remainder.

1,13,43,169,559,7267

Factors of 3999

List of positive integer factors of 3999 that divides 3999 without a remainder.

1,3,31,43,93,129,1333,3999

Greatest Common Factor

We found the factors 7267,3999 . The biggest common factor number is the GCF number.
So the greatest common factor 7267,3999 is 43.

Lets's calculate LCM of 148,863

Given numbers has no common factors except 1. So, there LCM is their product i.e 127724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/127724

Therefore, the GCF of Fractions 7267/148,3999/863 is 43/127724

Least Common Multiple of 148,863 with GCF Formula

Least Common Multiple of 148,863 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 148,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,863) = 1

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

GCF(148,863) x common factors =1 x 1 = 1

LCM(148,863) = ( 148 × 863 ) / 1

LCM(148,863) = 127724 / 1

LCM(148,863) = 127724


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 7267/148, 3999/863

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 7267/148, 3999/863?

Answer: GCF of Numerators as per given numbers 7267/148, 3999/863 is

GCF of Numerators i.e. for 7267,3999 is 43

LCM of denominators i.e. for 148,863 is 127724.

Thus, GCF of Fractions is 43/127724.Finally, GCF of Fractions for 7267/148, 3999/863 is 43/127724.