GCF of 4384/766, 3520/5648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4384/766, 3520/5648 i.e 32/2163184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4384/766, 3520/5648.
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 4384/766,3520/5648?
Given fractions are 4384/766,3520/5648
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 4384/766,3520/5648, numerators are 4384,3520
Denominators are 766,5648
The GCF of 4384,3520 is 32 .
LCM of 766,5648 is 2163184.
The greatest common factor of 4384/766,3520/5648 = [GCF of 4384,3520]/[LCM of 766,5648]= 32/2163184
Therefore, the GCF of 4384/766,3520/5648 is 32/2163184.
To find the highest common factor of 4384,3520, 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 3520 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 160, 176, 220, 320, 352, 440, 704, 880, 1760, 3520
The HCF of 4384,3520 is 32.
Lets's calculate GCF of 4384,3520
| 2 | 4384, 3520 |
| 2 | 2192, 1760 |
| 2 | 1096, 880 |
| 2 | 548, 440 |
| 2 | 274, 220 |
| 137, 110 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 4384,3520 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 3520
:1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,160,176,220,320,352,440,704,880,1760,3520
Greatest Common Factor
We found the factors 4384,3520 . The biggest common factor number is the GCF number.
So the greatest common factor 4384,3520 is 32.
Lets's calculate LCM of 766,5648
| 2 | 766, 5648 |
| 383, 2824 |
∴ So the LCM of the given numbers is 2 x 383 x 2824 = 2163184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/2163184
Therefore, the GCF of Fractions 4384/766,3520/5648 is 32/2163184
Least Common Multiple of 766,5648 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 766,5648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,5648) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,5648) x common factors =2 x 1 = 2
LCM(766,5648) = ( 766 × 5648 ) / 2
LCM(766,5648) = 4326368 / 2
LCM(766,5648) = 2163184
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FAQs on GCF of Fractions of 4384/766, 3520/5648
1. What is the HCF of 4384,3520?
The HCF of 4384,3520 is 32
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 4384/766, 3520/5648?
Answer: GCF of Numerators as per given numbers 4384/766, 3520/5648 is
GCF of Numerators i.e. for 4384,3520 is 32
LCM of denominators i.e. for 766,5648 is 2163184.
Thus, GCF of Fractions is 32/2163184.Finally, GCF of Fractions for 4384/766, 3520/5648 is 32/2163184.