GCF of 3303/458, 3658/960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3303/458, 3658/960 i.e 1/219840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3303/458, 3658/960.
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 3303/458,3658/960?
Given fractions are 3303/458,3658/960
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 3303/458,3658/960, numerators are 3303,3658
Denominators are 458,960
The GCF of 3303,3658 is 1 .
LCM of 458,960 is 219840.
The greatest common factor of 3303/458,3658/960 = [GCF of 3303,3658]/[LCM of 458,960]= 1/219840
Therefore, the GCF of 3303/458,3658/960 is 1/219840.
To find the highest common factor of 3303,3658, we have to find the factors of both numbers and list the highest common factor.
The factors of 3303 are 1, 3, 9, 367, 1101, 3303
The factors of 3658 are 1, 2, 31, 59, 62, 118, 1829, 3658
The HCF of 3303,3658 is 1.
Lets's calculate GCF of 3303,3658
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3303,3658 By Matching Biggest Common Factor Method
Now, list down the factors of 3303
:1,3,9,367,1101,3303
Now, list down the factors of 3658
:1,2,31,59,62,118,1829,3658
Greatest Common Factor
We found the factors 3303,3658 . The biggest common factor number is the GCF number.
So the greatest common factor 3303,3658 is 1.
Lets's calculate LCM of 458,960
| 2 | 458, 960 |
| 229, 480 |
∴ So the LCM of the given numbers is 2 x 229 x 480 = 219840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219840
Therefore, the GCF of Fractions 3303/458,3658/960 is 1/219840
Least Common Multiple of 458,960 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 458,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,960) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(458,960) x common factors =2 x 1 = 2
LCM(458,960) = ( 458 × 960 ) / 2
LCM(458,960) = 439680 / 2
LCM(458,960) = 219840
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3303/458, 3658/960
1. What is the HCF of 3303,3658?
The HCF of 3303,3658 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 3303/458, 3658/960?
Answer: GCF of Numerators as per given numbers 3303/458, 3658/960 is
GCF of Numerators i.e. for 3303,3658 is 1
LCM of denominators i.e. for 458,960 is 219840.
Thus, GCF of Fractions is 1/219840.Finally, GCF of Fractions for 3303/458, 3658/960 is 1/219840.