Greatest Common Factor of 1438/43, 2440/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1438/43, 2440/360

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 1438/43,2440/360

Given fractions are 1438/43,2440/360

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 1438,2440

Greatest Common Factor of Numerators i.e. GCF of 1438,2440 is 2 .

LCM of Denominators means LCM of 43,360 as per the given fractions.

LCM of 43,360 is 15480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1438,2440

GCF of Fractions 1438/43,2440/360 is 2/15480

2 1438, 2440
719, 1220

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

Greatest Common Factor of 1438,2440 By Matching Biggest Common Factor Method

Greatest Common Factor of 1438,2440 By Matching Biggest Common Factor Method

Factors of 1438

List of positive integer factors of 1438 that divides 1438 without a remainder.

1,2,719,1438

Factors of 2440

List of positive integer factors of 2440 that divides 2440 without a remainder.

1,2,4,5,8,10,20,40,61,122,244,305,488,610,1220,2440

Greatest Common Factor

We found the factors 1438,2440 . The biggest common factor number is the GCF number.
So the greatest common factor 1438,2440 is 2.

Lets's calculate LCM of 43,360

Given numbers has no common factors except 1. So, there LCM is their product i.e 15480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15480

Therefore, the GCF of Fractions 1438/43,2440/360 is 2/15480

Least Common Multiple of 43,360 with GCF Formula

Least Common Multiple of 43,360 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 43,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,360) = 1

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

GCF(43,360) x common factors =1 x 1 = 1

LCM(43,360) = ( 43 × 360 ) / 1

LCM(43,360) = 15480 / 1

LCM(43,360) = 15480


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 1438/43, 2440/360

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 1438/43, 2440/360?

Answer: GCF of Numerators as per given numbers 1438/43, 2440/360 is

GCF of Numerators i.e. for 1438,2440 is 2

LCM of denominators i.e. for 43,360 is 15480.

Thus, GCF of Fractions is 2/15480.Finally, GCF of Fractions for 1438/43, 2440/360 is 2/15480.