GCF of 9554/384, 8652/192
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9554/384, 8652/192 i.e 2/384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9554/384, 8652/192.
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 9554/384,8652/192?
Given fractions are 9554/384,8652/192
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 9554/384,8652/192, numerators are 9554,8652
Denominators are 384,192
The GCF of 9554,8652 is 2 .
LCM of 384,192 is 384.
The greatest common factor of 9554/384,8652/192 = [GCF of 9554,8652]/[LCM of 384,192]= 2/384
Therefore, the GCF of 9554/384,8652/192 is 2/384.
To find the highest common factor of 9554,8652, we have to find the factors of both numbers and list the highest common factor.
The factors of 9554 are 1, 2, 17, 34, 281, 562, 4777, 9554
The factors of 8652 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 103, 206, 309, 412, 618, 721, 1236, 1442, 2163, 2884, 4326, 8652
The HCF of 9554,8652 is 2.
Lets's calculate GCF of 9554,8652
| 2 | 9554, 8652 |
| 4777, 4326 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9554,8652 By Matching Biggest Common Factor Method
Now, list down the factors of 9554
:1,2,17,34,281,562,4777,9554
Now, list down the factors of 8652
:1,2,3,4,6,7,12,14,21,28,42,84,103,206,309,412,618,721,1236,1442,2163,2884,4326,8652
Greatest Common Factor
We found the factors 9554,8652 . The biggest common factor number is the GCF number.
So the greatest common factor 9554,8652 is 2.
Lets's calculate LCM of 384,192
| 2 | 384, 192 |
| 2 | 192, 96 |
| 2 | 48, 96 |
| 2 | 24, 48 |
| 2 | 12, 24 |
| 2 | 6, 12 |
| 3 | 3, 6 |
| 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1 x 2 = 384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/384
Therefore, the GCF of Fractions 9554/384,8652/192 is 2/384
Least Common Multiple of 384,192 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 384,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,192) = 192
common factors(in case of two or more numbers have common factors) = 1
GCF(384,192) x common factors =192 x 1 = 192
LCM(384,192) = ( 384 × 192 ) / 192
LCM(384,192) = 73728 / 192
LCM(384,192) = 384
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FAQs on GCF of Fractions of 9554/384, 8652/192
1. What is the HCF of 9554,8652?
The HCF of 9554,8652 is 2
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 9554/384, 8652/192?
Answer: GCF of Numerators as per given numbers 9554/384, 8652/192 is
GCF of Numerators i.e. for 9554,8652 is 2
LCM of denominators i.e. for 384,192 is 384.
Thus, GCF of Fractions is 2/384.Finally, GCF of Fractions for 9554/384, 8652/192 is 2/384.