GCF of 1904/12, 9656/717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1904/12, 9656/717 i.e 136/2868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1904/12, 9656/717.
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 1904/12,9656/717?
Given fractions are 1904/12,9656/717
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 1904/12,9656/717, numerators are 1904,9656
Denominators are 12,717
The GCF of 1904,9656 is 136 .
LCM of 12,717 is 2868.
The greatest common factor of 1904/12,9656/717 = [GCF of 1904,9656]/[LCM of 12,717]= 136/2868
Therefore, the GCF of 1904/12,9656/717 is 136/2868.
To find the highest common factor of 1904,9656, we have to find the factors of both numbers and list the highest common factor.
The factors of 1904 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 56, 68, 112, 119, 136, 238, 272, 476, 952, 1904
The factors of 9656 are 1, 2, 4, 8, 17, 34, 68, 71, 136, 142, 284, 568, 1207, 2414, 4828, 9656
The HCF of 1904,9656 is 136.
Lets's calculate GCF of 1904,9656
| 2 | 1904, 9656 |
| 2 | 952, 4828 |
| 2 | 476, 2414 |
| 17 | 238, 1207 |
| 14, 71 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 17 = 136
Greatest Common Factor of 1904,9656 By Matching Biggest Common Factor Method
Now, list down the factors of 1904
:1,2,4,7,8,14,16,17,28,34,56,68,112,119,136,238,272,476,952,1904
Now, list down the factors of 9656
:1,2,4,8,17,34,68,71,136,142,284,568,1207,2414,4828,9656
Greatest Common Factor
We found the factors 1904,9656 . The biggest common factor number is the GCF number.
So the greatest common factor 1904,9656 is 136.
Lets's calculate LCM of 12,717
| 3 | 12, 717 |
| 4, 239 |
∴ So the LCM of the given numbers is 3 x 4 x 239 = 2868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 136/2868
Therefore, the GCF of Fractions 1904/12,9656/717 is 136/2868
Least Common Multiple of 12,717 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 12,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,717) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(12,717) x common factors =3 x 1 = 3
LCM(12,717) = ( 12 × 717 ) / 3
LCM(12,717) = 8604 / 3
LCM(12,717) = 2868
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FAQs on GCF of Fractions of 1904/12, 9656/717
1. What is the HCF of 1904,9656?
The HCF of 1904,9656 is 136
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 1904/12, 9656/717?
Answer: GCF of Numerators as per given numbers 1904/12, 9656/717 is
GCF of Numerators i.e. for 1904,9656 is 136
LCM of denominators i.e. for 12,717 is 2868.
Thus, GCF of Fractions is 136/2868.Finally, GCF of Fractions for 1904/12, 9656/717 is 136/2868.