Greatest Common Factor of 4444/280, 8143/9722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4444/280, 8143/9722

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 4444/280,8143/9722

Given fractions are 4444/280,8143/9722

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 4444,8143

Greatest Common Factor of Numerators i.e. GCF of 4444,8143 is 1 .

LCM of Denominators means LCM of 280,9722 as per the given fractions.

LCM of 280,9722 is 1361080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4444,8143

GCF of Fractions 4444/280,8143/9722 is 1/1361080

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4444,8143 By Matching Biggest Common Factor Method

Greatest Common Factor of 4444,8143 By Matching Biggest Common Factor Method

Factors of 4444

List of positive integer factors of 4444 that divides 4444 without a remainder.

1,2,4,11,22,44,101,202,404,1111,2222,4444

Factors of 8143

List of positive integer factors of 8143 that divides 8143 without a remainder.

1,17,479,8143

Greatest Common Factor

We found the factors 4444,8143 . The biggest common factor number is the GCF number.
So the greatest common factor 4444,8143 is 1.

Lets's calculate LCM of 280,9722

2 280, 9722
140, 4861

∴ So the LCM of the given numbers is 2 x 140 x 4861 = 1361080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1361080

Therefore, the GCF of Fractions 4444/280,8143/9722 is 1/1361080

Least Common Multiple of 280,9722 with GCF Formula

Least Common Multiple of 280,9722 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 280,9722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,9722) = 2

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

GCF(280,9722) x common factors =2 x 1 = 2

LCM(280,9722) = ( 280 × 9722 ) / 2

LCM(280,9722) = 2722160 / 2

LCM(280,9722) = 1361080


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 4444/280, 8143/9722

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 4444/280, 8143/9722?

Answer: GCF of Numerators as per given numbers 4444/280, 8143/9722 is

GCF of Numerators i.e. for 4444,8143 is 1

LCM of denominators i.e. for 280,9722 is 1361080.

Thus, GCF of Fractions is 1/1361080.Finally, GCF of Fractions for 4444/280, 8143/9722 is 1/1361080.