Greatest Common Factor of 1112/23, 8466/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1112/23, 8466/263

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 1112/23,8466/263

Given fractions are 1112/23,8466/263

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 1112,8466

Greatest Common Factor of Numerators i.e. GCF of 1112,8466 is 2 .

LCM of Denominators means LCM of 23,263 as per the given fractions.

LCM of 23,263 is 6049 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1112,8466

GCF of Fractions 1112/23,8466/263 is 2/6049

2 1112, 8466
556, 4233

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1112,8466 By Matching Biggest Common Factor Method

Greatest Common Factor of 1112,8466 By Matching Biggest Common Factor Method

Factors of 1112

List of positive integer factors of 1112 that divides 1112 without a remainder.

1,2,4,8,139,278,556,1112

Factors of 8466

List of positive integer factors of 8466 that divides 8466 without a remainder.

1,2,3,6,17,34,51,83,102,166,249,498,1411,2822,4233,8466

Greatest Common Factor

We found the factors 1112,8466 . The biggest common factor number is the GCF number.
So the greatest common factor 1112,8466 is 2.

Lets's calculate LCM of 23,263

Given numbers has no common factors except 1. So, there LCM is their product i.e 6049

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6049

Therefore, the GCF of Fractions 1112/23,8466/263 is 2/6049

Least Common Multiple of 23,263 with GCF Formula

Least Common Multiple of 23,263 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 23,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,263) = 1

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

GCF(23,263) x common factors =1 x 1 = 1

LCM(23,263) = ( 23 × 263 ) / 1

LCM(23,263) = 6049 / 1

LCM(23,263) = 6049


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 1112/23, 8466/263

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 1112/23, 8466/263?

Answer: GCF of Numerators as per given numbers 1112/23, 8466/263 is

GCF of Numerators i.e. for 1112,8466 is 2

LCM of denominators i.e. for 23,263 is 6049.

Thus, GCF of Fractions is 2/6049.Finally, GCF of Fractions for 1112/23, 8466/263 is 2/6049.