GCF of 3999/308, 3456/4678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3999/308, 3456/4678 i.e 3/720412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3999/308, 3456/4678.
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 3999/308,3456/4678?
Given fractions are 3999/308,3456/4678
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 3999/308,3456/4678, numerators are 3999,3456
Denominators are 308,4678
The GCF of 3999,3456 is 3 .
LCM of 308,4678 is 720412.
The greatest common factor of 3999/308,3456/4678 = [GCF of 3999,3456]/[LCM of 308,4678]= 3/720412
Therefore, the GCF of 3999/308,3456/4678 is 3/720412.
To find the highest common factor of 3999,3456, we have to find the factors of both numbers and list the highest common factor.
The factors of 3999 are 1, 3, 31, 43, 93, 129, 1333, 3999
The factors of 3456 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728, 3456
The HCF of 3999,3456 is 3.
Lets's calculate GCF of 3999,3456
| 3 | 3999, 3456 |
| 1333, 1152 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3999,3456 By Matching Biggest Common Factor Method
Now, list down the factors of 3999
:1,3,31,43,93,129,1333,3999
Now, list down the factors of 3456
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,288,384,432,576,864,1152,1728,3456
Greatest Common Factor
We found the factors 3999,3456 . The biggest common factor number is the GCF number.
So the greatest common factor 3999,3456 is 3.
Lets's calculate LCM of 308,4678
| 2 | 308, 4678 |
| 154, 2339 |
∴ So the LCM of the given numbers is 2 x 154 x 2339 = 720412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/720412
Therefore, the GCF of Fractions 3999/308,3456/4678 is 3/720412
Least Common Multiple of 308,4678 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 308,4678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,4678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(308,4678) x common factors =2 x 1 = 2
LCM(308,4678) = ( 308 × 4678 ) / 2
LCM(308,4678) = 1440824 / 2
LCM(308,4678) = 720412
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FAQs on GCF of Fractions of 3999/308, 3456/4678
1. What is the HCF of 3999,3456?
The HCF of 3999,3456 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 3999/308, 3456/4678?
Answer: GCF of Numerators as per given numbers 3999/308, 3456/4678 is
GCF of Numerators i.e. for 3999,3456 is 3
LCM of denominators i.e. for 308,4678 is 720412.
Thus, GCF of Fractions is 3/720412.Finally, GCF of Fractions for 3999/308, 3456/4678 is 3/720412.