GCF of 9888/736, 1905/7728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9888/736, 1905/7728 i.e 3/15456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9888/736, 1905/7728.
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 9888/736,1905/7728?
Given fractions are 9888/736,1905/7728
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 9888/736,1905/7728, numerators are 9888,1905
Denominators are 736,7728
The GCF of 9888,1905 is 3 .
LCM of 736,7728 is 15456.
The greatest common factor of 9888/736,1905/7728 = [GCF of 9888,1905]/[LCM of 736,7728]= 3/15456
Therefore, the GCF of 9888/736,1905/7728 is 3/15456.
To find the highest common factor of 9888,1905, we have to find the factors of both numbers and list the highest common factor.
The factors of 9888 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 9888
The factors of 1905 are 1, 3, 5, 15, 127, 381, 635, 1905
The HCF of 9888,1905 is 3.
Lets's calculate GCF of 9888,1905
| 3 | 9888, 1905 |
| 3296, 635 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9888,1905 By Matching Biggest Common Factor Method
Now, list down the factors of 9888
:1,2,3,4,6,8,12,16,24,32,48,96,103,206,309,412,618,824,1236,1648,2472,3296,4944,9888
Now, list down the factors of 1905
:1,3,5,15,127,381,635,1905
Greatest Common Factor
We found the factors 9888,1905 . The biggest common factor number is the GCF number.
So the greatest common factor 9888,1905 is 3.
Lets's calculate LCM of 736,7728
| 2 | 736, 7728 |
| 2 | 368, 3864 |
| 2 | 184, 1932 |
| 2 | 92, 966 |
| 23 | 46, 483 |
| 2, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 23 x 2 x 21 = 15456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15456
Therefore, the GCF of Fractions 9888/736,1905/7728 is 3/15456
Least Common Multiple of 736,7728 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 736,7728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,7728) = 368
common factors(in case of two or more numbers have common factors) = 1
GCF(736,7728) x common factors =368 x 1 = 368
LCM(736,7728) = ( 736 × 7728 ) / 368
LCM(736,7728) = 5687808 / 368
LCM(736,7728) = 15456
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FAQs on GCF of Fractions of 9888/736, 1905/7728
1. What is the HCF of 9888,1905?
The HCF of 9888,1905 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 9888/736, 1905/7728?
Answer: GCF of Numerators as per given numbers 9888/736, 1905/7728 is
GCF of Numerators i.e. for 9888,1905 is 3
LCM of denominators i.e. for 736,7728 is 15456.
Thus, GCF of Fractions is 3/15456.Finally, GCF of Fractions for 9888/736, 1905/7728 is 3/15456.