GCF of 4421/720, 6735/879
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4421/720, 6735/879 i.e 1/210960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4421/720, 6735/879.
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 4421/720,6735/879?
Given fractions are 4421/720,6735/879
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 4421/720,6735/879, numerators are 4421,6735
Denominators are 720,879
The GCF of 4421,6735 is 1 .
LCM of 720,879 is 210960.
The greatest common factor of 4421/720,6735/879 = [GCF of 4421,6735]/[LCM of 720,879]= 1/210960
Therefore, the GCF of 4421/720,6735/879 is 1/210960.
To find the highest common factor of 4421,6735, we have to find the factors of both numbers and list the highest common factor.
The factors of 4421 are 1, 4421
The factors of 6735 are 1, 3, 5, 15, 449, 1347, 2245, 6735
The HCF of 4421,6735 is 1.
Lets's calculate GCF of 4421,6735
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4421,6735 By Matching Biggest Common Factor Method
Now, list down the factors of 4421
:1,4421
Now, list down the factors of 6735
:1,3,5,15,449,1347,2245,6735
Greatest Common Factor
We found the factors 4421,6735 . The biggest common factor number is the GCF number.
So the greatest common factor 4421,6735 is 1.
Lets's calculate LCM of 720,879
| 3 | 720, 879 |
| 240, 293 |
∴ So the LCM of the given numbers is 3 x 240 x 293 = 210960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210960
Therefore, the GCF of Fractions 4421/720,6735/879 is 1/210960
Least Common Multiple of 720,879 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 720,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,879) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(720,879) x common factors =3 x 1 = 3
LCM(720,879) = ( 720 × 879 ) / 3
LCM(720,879) = 632880 / 3
LCM(720,879) = 210960
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FAQs on GCF of Fractions of 4421/720, 6735/879
1. What is the HCF of 4421,6735?
The HCF of 4421,6735 is 1
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 4421/720, 6735/879?
Answer: GCF of Numerators as per given numbers 4421/720, 6735/879 is
GCF of Numerators i.e. for 4421,6735 is 1
LCM of denominators i.e. for 720,879 is 210960.
Thus, GCF of Fractions is 1/210960.Finally, GCF of Fractions for 4421/720, 6735/879 is 1/210960.