GCF of 4692/330, 4304/6801
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4692/330, 4304/6801 i.e 4/748110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4692/330, 4304/6801.
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 4692/330,4304/6801?
Given fractions are 4692/330,4304/6801
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 4692/330,4304/6801, numerators are 4692,4304
Denominators are 330,6801
The GCF of 4692,4304 is 4 .
LCM of 330,6801 is 748110.
The greatest common factor of 4692/330,4304/6801 = [GCF of 4692,4304]/[LCM of 330,6801]= 4/748110
Therefore, the GCF of 4692/330,4304/6801 is 4/748110.
To find the highest common factor of 4692,4304, we have to find the factors of both numbers and list the highest common factor.
The factors of 4692 are 1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692
The factors of 4304 are 1, 2, 4, 8, 16, 269, 538, 1076, 2152, 4304
The HCF of 4692,4304 is 4.
Lets's calculate GCF of 4692,4304
| 2 | 4692, 4304 |
| 2 | 2346, 2152 |
| 1173, 1076 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4692,4304 By Matching Biggest Common Factor Method
Now, list down the factors of 4692
:1,2,3,4,6,12,17,23,34,46,51,68,69,92,102,138,204,276,391,782,1173,1564,2346,4692
Now, list down the factors of 4304
:1,2,4,8,16,269,538,1076,2152,4304
Greatest Common Factor
We found the factors 4692,4304 . The biggest common factor number is the GCF number.
So the greatest common factor 4692,4304 is 4.
Lets's calculate LCM of 330,6801
| 3 | 330, 6801 |
| 110, 2267 |
∴ So the LCM of the given numbers is 3 x 110 x 2267 = 748110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/748110
Therefore, the GCF of Fractions 4692/330,4304/6801 is 4/748110
Least Common Multiple of 330,6801 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 330,6801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,6801) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(330,6801) x common factors =3 x 1 = 3
LCM(330,6801) = ( 330 × 6801 ) / 3
LCM(330,6801) = 2244330 / 3
LCM(330,6801) = 748110
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FAQs on GCF of Fractions of 4692/330, 4304/6801
1. What is the HCF of 4692,4304?
The HCF of 4692,4304 is 4
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 4692/330, 4304/6801?
Answer: GCF of Numerators as per given numbers 4692/330, 4304/6801 is
GCF of Numerators i.e. for 4692,4304 is 4
LCM of denominators i.e. for 330,6801 is 748110.
Thus, GCF of Fractions is 4/748110.Finally, GCF of Fractions for 4692/330, 4304/6801 is 4/748110.