Greatest Common Factor of 112/44, 9284/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 112/44, 9284/107

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 112/44,9284/107

Given fractions are 112/44,9284/107

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 112,9284

Greatest Common Factor of Numerators i.e. GCF of 112,9284 is 4 .

LCM of Denominators means LCM of 44,107 as per the given fractions.

LCM of 44,107 is 4708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 112,9284

GCF of Fractions 112/44,9284/107 is 4/4708

2 112, 9284
2 56, 4642
28, 2321

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 112,9284 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,9284 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 9284

List of positive integer factors of 9284 that divides 9284 without a remainder.

1,2,4,11,22,44,211,422,844,2321,4642,9284

Greatest Common Factor

We found the factors 112,9284 . The biggest common factor number is the GCF number.
So the greatest common factor 112,9284 is 4.

Lets's calculate LCM of 44,107

Given numbers has no common factors except 1. So, there LCM is their product i.e 4708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4708

Therefore, the GCF of Fractions 112/44,9284/107 is 4/4708

Least Common Multiple of 44,107 with GCF Formula

Least Common Multiple of 44,107 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 44,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,107) = 1

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

GCF(44,107) x common factors =1 x 1 = 1

LCM(44,107) = ( 44 × 107 ) / 1

LCM(44,107) = 4708 / 1

LCM(44,107) = 4708


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 112/44, 9284/107

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 112/44, 9284/107?

Answer: GCF of Numerators as per given numbers 112/44, 9284/107 is

GCF of Numerators i.e. for 112,9284 is 4

LCM of denominators i.e. for 44,107 is 4708.

Thus, GCF of Fractions is 4/4708.Finally, GCF of Fractions for 112/44, 9284/107 is 4/4708.