Greatest Common Factor of 4440/992, 4058/1341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4440/992, 4058/1341

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 4440/992,4058/1341

Given fractions are 4440/992,4058/1341

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 4440,4058

Greatest Common Factor of Numerators i.e. GCF of 4440,4058 is 2 .

LCM of Denominators means LCM of 992,1341 as per the given fractions.

LCM of 992,1341 is 1330272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4440,4058

GCF of Fractions 4440/992,4058/1341 is 2/1330272

2 4440, 4058
2220, 2029

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

Greatest Common Factor of 4440,4058 By Matching Biggest Common Factor Method

Greatest Common Factor of 4440,4058 By Matching Biggest Common Factor Method

Factors of 4440

List of positive integer factors of 4440 that divides 4440 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,37,40,60,74,111,120,148,185,222,296,370,444,555,740,888,1110,1480,2220,4440

Factors of 4058

List of positive integer factors of 4058 that divides 4058 without a remainder.

1,2,2029,4058

Greatest Common Factor

We found the factors 4440,4058 . The biggest common factor number is the GCF number.
So the greatest common factor 4440,4058 is 2.

Lets's calculate LCM of 992,1341

Given numbers has no common factors except 1. So, there LCM is their product i.e 1330272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1330272

Therefore, the GCF of Fractions 4440/992,4058/1341 is 2/1330272

Least Common Multiple of 992,1341 with GCF Formula

Least Common Multiple of 992,1341 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 992,1341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,1341) = 1

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

GCF(992,1341) x common factors =1 x 1 = 1

LCM(992,1341) = ( 992 × 1341 ) / 1

LCM(992,1341) = 1330272 / 1

LCM(992,1341) = 1330272


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 4440/992, 4058/1341

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 4440/992, 4058/1341?

Answer: GCF of Numerators as per given numbers 4440/992, 4058/1341 is

GCF of Numerators i.e. for 4440,4058 is 2

LCM of denominators i.e. for 992,1341 is 1330272.

Thus, GCF of Fractions is 2/1330272.Finally, GCF of Fractions for 4440/992, 4058/1341 is 2/1330272.