GCF of 9504/952, 9640/9797
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9504/952, 9640/9797 i.e 8/9326744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9504/952, 9640/9797.
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 9504/952,9640/9797?
Given fractions are 9504/952,9640/9797
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 9504/952,9640/9797, numerators are 9504,9640
Denominators are 952,9797
The GCF of 9504,9640 is 8 .
LCM of 952,9797 is 9326744.
The greatest common factor of 9504/952,9640/9797 = [GCF of 9504,9640]/[LCM of 952,9797]= 8/9326744
Therefore, the GCF of 9504/952,9640/9797 is 8/9326744.
To find the highest common factor of 9504,9640, we have to find the factors of both numbers and list the highest common factor.
The factors of 9504 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 88, 96, 99, 108, 132, 144, 176, 198, 216, 264, 288, 297, 352, 396, 432, 528, 594, 792, 864, 1056, 1188, 1584, 2376, 3168, 4752, 9504
The factors of 9640 are 1, 2, 4, 5, 8, 10, 20, 40, 241, 482, 964, 1205, 1928, 2410, 4820, 9640
The HCF of 9504,9640 is 8.
Lets's calculate GCF of 9504,9640
| 2 | 9504, 9640 |
| 2 | 4752, 4820 |
| 2 | 2376, 2410 |
| 1188, 1205 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 9504,9640 By Matching Biggest Common Factor Method
Now, list down the factors of 9504
:1,2,3,4,6,8,9,11,12,16,18,22,24,27,32,33,36,44,48,54,66,72,88,96,99,108,132,144,176,198,216,264,288,297,352,396,432,528,594,792,864,1056,1188,1584,2376,3168,4752,9504
Now, list down the factors of 9640
:1,2,4,5,8,10,20,40,241,482,964,1205,1928,2410,4820,9640
Greatest Common Factor
We found the factors 9504,9640 . The biggest common factor number is the GCF number.
So the greatest common factor 9504,9640 is 8.
Lets's calculate LCM of 952,9797
Given numbers has no common factors except 1. So, there LCM is their product i.e 9326744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/9326744
Therefore, the GCF of Fractions 9504/952,9640/9797 is 8/9326744
Least Common Multiple of 952,9797 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 952,9797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,9797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(952,9797) x common factors =1 x 1 = 1
LCM(952,9797) = ( 952 × 9797 ) / 1
LCM(952,9797) = 9326744 / 1
LCM(952,9797) = 9326744
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FAQs on GCF of Fractions of 9504/952, 9640/9797
1. What is the HCF of 9504,9640?
The HCF of 9504,9640 is 8
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 9504/952, 9640/9797?
Answer: GCF of Numerators as per given numbers 9504/952, 9640/9797 is
GCF of Numerators i.e. for 9504,9640 is 8
LCM of denominators i.e. for 952,9797 is 9326744.
Thus, GCF of Fractions is 8/9326744.Finally, GCF of Fractions for 9504/952, 9640/9797 is 8/9326744.