GCF of 2223/960, 4386/7779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2223/960, 4386/7779 i.e 3/2489280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2223/960, 4386/7779.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2223/960,4386/7779?
Given fractions are 2223/960,4386/7779
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2223/960,4386/7779, numerators are 2223,4386
Denominators are 960,7779
The GCF of 2223,4386 is 3 .
LCM of 960,7779 is 2489280.
The greatest common factor of 2223/960,4386/7779 = [GCF of 2223,4386]/[LCM of 960,7779]= 3/2489280
Therefore, the GCF of 2223/960,4386/7779 is 3/2489280.
To find the highest common factor of 2223,4386, we have to find the factors of both numbers and list the highest common factor.
The factors of 2223 are 1, 3, 9, 13, 19, 39, 57, 117, 171, 247, 741, 2223
The factors of 4386 are 1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386
The HCF of 2223,4386 is 3.
Lets's calculate GCF of 2223,4386
| 3 | 2223, 4386 |
| 741, 1462 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2223,4386 By Matching Biggest Common Factor Method
Now, list down the factors of 2223
:1,3,9,13,19,39,57,117,171,247,741,2223
Now, list down the factors of 4386
:1,2,3,6,17,34,43,51,86,102,129,258,731,1462,2193,4386
Greatest Common Factor
We found the factors 2223,4386 . The biggest common factor number is the GCF number.
So the greatest common factor 2223,4386 is 3.
Lets's calculate LCM of 960,7779
| 3 | 960, 7779 |
| 320, 2593 |
∴ So the LCM of the given numbers is 3 x 320 x 2593 = 2489280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2489280
Therefore, the GCF of Fractions 2223/960,4386/7779 is 3/2489280
Least Common Multiple of 960,7779 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 960,7779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,7779) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(960,7779) x common factors =3 x 1 = 3
LCM(960,7779) = ( 960 × 7779 ) / 3
LCM(960,7779) = 7467840 / 3
LCM(960,7779) = 2489280
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2223/960, 4386/7779
1. What is the HCF of 2223,4386?
The HCF of 2223,4386 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 2223/960, 4386/7779?
Answer: GCF of Numerators as per given numbers 2223/960, 4386/7779 is
GCF of Numerators i.e. for 2223,4386 is 3
LCM of denominators i.e. for 960,7779 is 2489280.
Thus, GCF of Fractions is 3/2489280.Finally, GCF of Fractions for 2223/960, 4386/7779 is 3/2489280.