Greatest Common Factor of 4438/280, 1036/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4438/280, 1036/983

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 4438/280,1036/983

Given fractions are 4438/280,1036/983

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 4438,1036

Greatest Common Factor of Numerators i.e. GCF of 4438,1036 is 14 .

LCM of Denominators means LCM of 280,983 as per the given fractions.

LCM of 280,983 is 275240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4438,1036

GCF of Fractions 4438/280,1036/983 is 14/275240

2 4438, 1036
7 2219, 518
317, 74

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 4438,1036 By Matching Biggest Common Factor Method

Greatest Common Factor of 4438,1036 By Matching Biggest Common Factor Method

Factors of 4438

List of positive integer factors of 4438 that divides 4438 without a remainder.

1,2,7,14,317,634,2219,4438

Factors of 1036

List of positive integer factors of 1036 that divides 1036 without a remainder.

1,2,4,7,14,28,37,74,148,259,518,1036

Greatest Common Factor

We found the factors 4438,1036 . The biggest common factor number is the GCF number.
So the greatest common factor 4438,1036 is 14.

Lets's calculate LCM of 280,983

Given numbers has no common factors except 1. So, there LCM is their product i.e 275240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/275240

Therefore, the GCF of Fractions 4438/280,1036/983 is 14/275240

Least Common Multiple of 280,983 with GCF Formula

Least Common Multiple of 280,983 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 280,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,983) = 1

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

GCF(280,983) x common factors =1 x 1 = 1

LCM(280,983) = ( 280 × 983 ) / 1

LCM(280,983) = 275240 / 1

LCM(280,983) = 275240


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 4438/280, 1036/983

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 4438/280, 1036/983?

Answer: GCF of Numerators as per given numbers 4438/280, 1036/983 is

GCF of Numerators i.e. for 4438,1036 is 14

LCM of denominators i.e. for 280,983 is 275240.

Thus, GCF of Fractions is 14/275240.Finally, GCF of Fractions for 4438/280, 1036/983 is 14/275240.