GCF of 4334/310, 3858/3360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4334/310, 3858/3360 i.e 2/104160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4334/310, 3858/3360.
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 4334/310,3858/3360?
Given fractions are 4334/310,3858/3360
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 4334/310,3858/3360, numerators are 4334,3858
Denominators are 310,3360
The GCF of 4334,3858 is 2 .
LCM of 310,3360 is 104160.
The greatest common factor of 4334/310,3858/3360 = [GCF of 4334,3858]/[LCM of 310,3360]= 2/104160
Therefore, the GCF of 4334/310,3858/3360 is 2/104160.
To find the highest common factor of 4334,3858, we have to find the factors of both numbers and list the highest common factor.
The factors of 4334 are 1, 2, 11, 22, 197, 394, 2167, 4334
The factors of 3858 are 1, 2, 3, 6, 643, 1286, 1929, 3858
The HCF of 4334,3858 is 2.
Lets's calculate GCF of 4334,3858
| 2 | 4334, 3858 |
| 2167, 1929 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4334,3858 By Matching Biggest Common Factor Method
Now, list down the factors of 4334
:1,2,11,22,197,394,2167,4334
Now, list down the factors of 3858
:1,2,3,6,643,1286,1929,3858
Greatest Common Factor
We found the factors 4334,3858 . The biggest common factor number is the GCF number.
So the greatest common factor 4334,3858 is 2.
Lets's calculate LCM of 310,3360
| 2 | 310, 3360 |
| 5 | 155, 1680 |
| 31, 336 |
∴ So the LCM of the given numbers is 2 x 5 x 31 x 336 = 104160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/104160
Therefore, the GCF of Fractions 4334/310,3858/3360 is 2/104160
Least Common Multiple of 310,3360 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 310,3360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,3360) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(310,3360) x common factors =10 x 1 = 10
LCM(310,3360) = ( 310 × 3360 ) / 10
LCM(310,3360) = 1041600 / 10
LCM(310,3360) = 104160
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FAQs on GCF of Fractions of 4334/310, 3858/3360
1. What is the HCF of 4334,3858?
The HCF of 4334,3858 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 4334/310, 3858/3360?
Answer: GCF of Numerators as per given numbers 4334/310, 3858/3360 is
GCF of Numerators i.e. for 4334,3858 is 2
LCM of denominators i.e. for 310,3360 is 104160.
Thus, GCF of Fractions is 2/104160.Finally, GCF of Fractions for 4334/310, 3858/3360 is 2/104160.