GCF of 5664/802, 3969/576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5664/802, 3969/576 i.e 3/230976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5664/802, 3969/576.
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 5664/802,3969/576?
Given fractions are 5664/802,3969/576
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 5664/802,3969/576, numerators are 5664,3969
Denominators are 802,576
The GCF of 5664,3969 is 3 .
LCM of 802,576 is 230976.
The greatest common factor of 5664/802,3969/576 = [GCF of 5664,3969]/[LCM of 802,576]= 3/230976
Therefore, the GCF of 5664/802,3969/576 is 3/230976.
To find the highest common factor of 5664,3969, we have to find the factors of both numbers and list the highest common factor.
The factors of 5664 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664
The factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969
The HCF of 5664,3969 is 3.
Lets's calculate GCF of 5664,3969
| 3 | 5664, 3969 |
| 1888, 1323 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5664,3969 By Matching Biggest Common Factor Method
Now, list down the factors of 5664
:1,2,3,4,6,8,12,16,24,32,48,59,96,118,177,236,354,472,708,944,1416,1888,2832,5664
Now, list down the factors of 3969
:1,3,7,9,21,27,49,63,81,147,189,441,567,1323,3969
Greatest Common Factor
We found the factors 5664,3969 . The biggest common factor number is the GCF number.
So the greatest common factor 5664,3969 is 3.
Lets's calculate LCM of 802,576
| 2 | 802, 576 |
| 401, 288 |
∴ So the LCM of the given numbers is 2 x 401 x 288 = 230976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/230976
Therefore, the GCF of Fractions 5664/802,3969/576 is 3/230976
Least Common Multiple of 802,576 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 802,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,576) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,576) x common factors =2 x 1 = 2
LCM(802,576) = ( 802 × 576 ) / 2
LCM(802,576) = 461952 / 2
LCM(802,576) = 230976
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FAQs on GCF of Fractions of 5664/802, 3969/576
1. What is the HCF of 5664,3969?
The HCF of 5664,3969 is 3
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 5664/802, 3969/576?
Answer: GCF of Numerators as per given numbers 5664/802, 3969/576 is
GCF of Numerators i.e. for 5664,3969 is 3
LCM of denominators i.e. for 802,576 is 230976.
Thus, GCF of Fractions is 3/230976.Finally, GCF of Fractions for 5664/802, 3969/576 is 3/230976.