GCF of 18/720, 4952/3333
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 18/720, 4952/3333 i.e 2/799920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/720, 4952/3333.
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 18/720,4952/3333?
Given fractions are 18/720,4952/3333
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 18/720,4952/3333, numerators are 18,4952
Denominators are 720,3333
The GCF of 18,4952 is 2 .
LCM of 720,3333 is 799920.
The greatest common factor of 18/720,4952/3333 = [GCF of 18,4952]/[LCM of 720,3333]= 2/799920
Therefore, the GCF of 18/720,4952/3333 is 2/799920.
To find the highest common factor of 18,4952, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 4952 are 1, 2, 4, 8, 619, 1238, 2476, 4952
The HCF of 18,4952 is 2.
Lets's calculate GCF of 18,4952
| 2 | 18, 4952 |
| 9, 2476 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 18,4952 By Matching Biggest Common Factor Method
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 4952
:1,2,4,8,619,1238,2476,4952
Greatest Common Factor
We found the factors 18,4952 . The biggest common factor number is the GCF number.
So the greatest common factor 18,4952 is 2.
Lets's calculate LCM of 720,3333
| 3 | 720, 3333 |
| 240, 1111 |
∴ So the LCM of the given numbers is 3 x 240 x 1111 = 799920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/799920
Therefore, the GCF of Fractions 18/720,4952/3333 is 2/799920
Least Common Multiple of 720,3333 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 720,3333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,3333) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(720,3333) x common factors =3 x 1 = 3
LCM(720,3333) = ( 720 × 3333 ) / 3
LCM(720,3333) = 2399760 / 3
LCM(720,3333) = 799920
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 18/720, 4952/3333
1. What is the HCF of 18,4952?
The HCF of 18,4952 is 2
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 18/720, 4952/3333?
Answer: GCF of Numerators as per given numbers 18/720, 4952/3333 is
GCF of Numerators i.e. for 18,4952 is 2
LCM of denominators i.e. for 720,3333 is 799920.
Thus, GCF of Fractions is 2/799920.Finally, GCF of Fractions for 18/720, 4952/3333 is 2/799920.