GCF of 4384/664, 7536/9968
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4384/664, 7536/9968 i.e 16/827344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4384/664, 7536/9968.
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 4384/664,7536/9968?
Given fractions are 4384/664,7536/9968
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 4384/664,7536/9968, numerators are 4384,7536
Denominators are 664,9968
The GCF of 4384,7536 is 16 .
LCM of 664,9968 is 827344.
The greatest common factor of 4384/664,7536/9968 = [GCF of 4384,7536]/[LCM of 664,9968]= 16/827344
Therefore, the GCF of 4384/664,7536/9968 is 16/827344.
To find the highest common factor of 4384,7536, we have to find the factors of both numbers and list the highest common factor.
The factors of 4384 are 1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384
The factors of 7536 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 157, 314, 471, 628, 942, 1256, 1884, 2512, 3768, 7536
The HCF of 4384,7536 is 16.
Lets's calculate GCF of 4384,7536
| 2 | 4384, 7536 |
| 2 | 2192, 3768 |
| 2 | 1096, 1884 |
| 2 | 548, 942 |
| 274, 471 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 4384,7536 By Matching Biggest Common Factor Method
Now, list down the factors of 4384
:1,2,4,8,16,32,137,274,548,1096,2192,4384
Now, list down the factors of 7536
:1,2,3,4,6,8,12,16,24,48,157,314,471,628,942,1256,1884,2512,3768,7536
Greatest Common Factor
We found the factors 4384,7536 . The biggest common factor number is the GCF number.
So the greatest common factor 4384,7536 is 16.
Lets's calculate LCM of 664,9968
| 2 | 664, 9968 |
| 2 | 332, 4984 |
| 2 | 166, 2492 |
| 83, 1246 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 83 x 1246 = 827344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/827344
Therefore, the GCF of Fractions 4384/664,7536/9968 is 16/827344
Least Common Multiple of 664,9968 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 664,9968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,9968) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(664,9968) x common factors =8 x 1 = 8
LCM(664,9968) = ( 664 × 9968 ) / 8
LCM(664,9968) = 6618752 / 8
LCM(664,9968) = 827344
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FAQs on GCF of Fractions of 4384/664, 7536/9968
1. What is the HCF of 4384,7536?
The HCF of 4384,7536 is 16
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 4384/664, 7536/9968?
Answer: GCF of Numerators as per given numbers 4384/664, 7536/9968 is
GCF of Numerators i.e. for 4384,7536 is 16
LCM of denominators i.e. for 664,9968 is 827344.
Thus, GCF of Fractions is 16/827344.Finally, GCF of Fractions for 4384/664, 7536/9968 is 16/827344.