Greatest Common Factor of 4434/112, 2034/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4434/112, 2034/845

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 4434/112,2034/845

Given fractions are 4434/112,2034/845

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 4434,2034

Greatest Common Factor of Numerators i.e. GCF of 4434,2034 is 6 .

LCM of Denominators means LCM of 112,845 as per the given fractions.

LCM of 112,845 is 94640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4434,2034

GCF of Fractions 4434/112,2034/845 is 6/94640

2 4434, 2034
3 2217, 1017
739, 339

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4434,2034 By Matching Biggest Common Factor Method

Greatest Common Factor of 4434,2034 By Matching Biggest Common Factor Method

Factors of 4434

List of positive integer factors of 4434 that divides 4434 without a remainder.

1,2,3,6,739,1478,2217,4434

Factors of 2034

List of positive integer factors of 2034 that divides 2034 without a remainder.

1,2,3,6,9,18,113,226,339,678,1017,2034

Greatest Common Factor

We found the factors 4434,2034 . The biggest common factor number is the GCF number.
So the greatest common factor 4434,2034 is 6.

Lets's calculate LCM of 112,845

Given numbers has no common factors except 1. So, there LCM is their product i.e 94640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/94640

Therefore, the GCF of Fractions 4434/112,2034/845 is 6/94640

Least Common Multiple of 112,845 with GCF Formula

Least Common Multiple of 112,845 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 112,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,845) = 1

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

GCF(112,845) x common factors =1 x 1 = 1

LCM(112,845) = ( 112 × 845 ) / 1

LCM(112,845) = 94640 / 1

LCM(112,845) = 94640


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 4434/112, 2034/845

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 4434/112, 2034/845?

Answer: GCF of Numerators as per given numbers 4434/112, 2034/845 is

GCF of Numerators i.e. for 4434,2034 is 6

LCM of denominators i.e. for 112,845 is 94640.

Thus, GCF of Fractions is 6/94640.Finally, GCF of Fractions for 4434/112, 2034/845 is 6/94640.