Greatest Common Factor of 2321/966, 8228/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2321/966, 8228/791

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 2321/966,8228/791

Given fractions are 2321/966,8228/791

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 2321,8228

Greatest Common Factor of Numerators i.e. GCF of 2321,8228 is 11 .

LCM of Denominators means LCM of 966,791 as per the given fractions.

LCM of 966,791 is 109158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2321,8228

GCF of Fractions 2321/966,8228/791 is 11/109158

11 2321, 8228
211, 748

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 2321,8228 By Matching Biggest Common Factor Method

Greatest Common Factor of 2321,8228 By Matching Biggest Common Factor Method

Factors of 2321

List of positive integer factors of 2321 that divides 2321 without a remainder.

1,11,211,2321

Factors of 8228

List of positive integer factors of 8228 that divides 8228 without a remainder.

1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228

Greatest Common Factor

We found the factors 2321,8228 . The biggest common factor number is the GCF number.
So the greatest common factor 2321,8228 is 11.

Lets's calculate LCM of 966,791

7 966, 791
138, 113

∴ So the LCM of the given numbers is 7 x 138 x 113 = 109158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/109158

Therefore, the GCF of Fractions 2321/966,8228/791 is 11/109158

Least Common Multiple of 966,791 with GCF Formula

Least Common Multiple of 966,791 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 966,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,791) = 7

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

GCF(966,791) x common factors =7 x 1 = 7

LCM(966,791) = ( 966 × 791 ) / 7

LCM(966,791) = 764106 / 7

LCM(966,791) = 109158


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 2321/966, 8228/791

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 2321/966, 8228/791?

Answer: GCF of Numerators as per given numbers 2321/966, 8228/791 is

GCF of Numerators i.e. for 2321,8228 is 11

LCM of denominators i.e. for 966,791 is 109158.

Thus, GCF of Fractions is 11/109158.Finally, GCF of Fractions for 2321/966, 8228/791 is 11/109158.