Greatest Common Factor of 4261/868, 9188/9948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4261/868, 9188/9948

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 4261/868,9188/9948

Given fractions are 4261/868,9188/9948

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 4261,9188

Greatest Common Factor of Numerators i.e. GCF of 4261,9188 is 1 .

LCM of Denominators means LCM of 868,9948 as per the given fractions.

LCM of 868,9948 is 2158716 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4261,9188

GCF of Fractions 4261/868,9188/9948 is 1/2158716

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

Greatest Common Factor of 4261,9188 By Matching Biggest Common Factor Method

Greatest Common Factor of 4261,9188 By Matching Biggest Common Factor Method

Factors of 4261

List of positive integer factors of 4261 that divides 4261 without a remainder.

1,4261

Factors of 9188

List of positive integer factors of 9188 that divides 9188 without a remainder.

1,2,4,2297,4594,9188

Greatest Common Factor

We found the factors 4261,9188 . The biggest common factor number is the GCF number.
So the greatest common factor 4261,9188 is 1.

Lets's calculate LCM of 868,9948

2 868, 9948
2 434, 4974
217, 2487

∴ So the LCM of the given numbers is 2 x 2 x 217 x 2487 = 2158716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2158716

Therefore, the GCF of Fractions 4261/868,9188/9948 is 1/2158716

Least Common Multiple of 868,9948 with GCF Formula

Least Common Multiple of 868,9948 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 868,9948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,9948) = 4

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

GCF(868,9948) x common factors =4 x 1 = 4

LCM(868,9948) = ( 868 × 9948 ) / 4

LCM(868,9948) = 8634864 / 4

LCM(868,9948) = 2158716


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 4261/868, 9188/9948

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 4261/868, 9188/9948?

Answer: GCF of Numerators as per given numbers 4261/868, 9188/9948 is

GCF of Numerators i.e. for 4261,9188 is 1

LCM of denominators i.e. for 868,9948 is 2158716.

Thus, GCF of Fractions is 1/2158716.Finally, GCF of Fractions for 4261/868, 9188/9948 is 1/2158716.