GCF of 9152/203, 8064/7699
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9152/203, 8064/7699 i.e 64/1562897 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9152/203, 8064/7699.
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 9152/203,8064/7699?
Given fractions are 9152/203,8064/7699
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 9152/203,8064/7699, numerators are 9152,8064
Denominators are 203,7699
The GCF of 9152,8064 is 64 .
LCM of 203,7699 is 1562897.
The greatest common factor of 9152/203,8064/7699 = [GCF of 9152,8064]/[LCM of 203,7699]= 64/1562897
Therefore, the GCF of 9152/203,8064/7699 is 64/1562897.
To find the highest common factor of 9152,8064, we have to find the factors of both numbers and list the highest common factor.
The factors of 9152 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 2288, 4576, 9152
The factors of 8064 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 896, 1008, 1152, 1344, 2016, 2688, 4032, 8064
The HCF of 9152,8064 is 64.
Lets's calculate GCF of 9152,8064
| 2 | 9152, 8064 |
| 2 | 4576, 4032 |
| 2 | 2288, 2016 |
| 2 | 1144, 1008 |
| 2 | 572, 504 |
| 2 | 286, 252 |
| 143, 126 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64
Greatest Common Factor of 9152,8064 By Matching Biggest Common Factor Method
Now, list down the factors of 9152
:1,2,4,8,11,13,16,22,26,32,44,52,64,88,104,143,176,208,286,352,416,572,704,832,1144,2288,4576,9152
Now, list down the factors of 8064
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,128,144,168,192,224,252,288,336,384,448,504,576,672,896,1008,1152,1344,2016,2688,4032,8064
Greatest Common Factor
We found the factors 9152,8064 . The biggest common factor number is the GCF number.
So the greatest common factor 9152,8064 is 64.
Lets's calculate LCM of 203,7699
Given numbers has no common factors except 1. So, there LCM is their product i.e 1562897
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/1562897
Therefore, the GCF of Fractions 9152/203,8064/7699 is 64/1562897
Least Common Multiple of 203,7699 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 203,7699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,7699) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,7699) x common factors =1 x 1 = 1
LCM(203,7699) = ( 203 × 7699 ) / 1
LCM(203,7699) = 1562897 / 1
LCM(203,7699) = 1562897
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FAQs on GCF of Fractions of 9152/203, 8064/7699
1. What is the HCF of 9152,8064?
The HCF of 9152,8064 is 64
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 9152/203, 8064/7699?
Answer: GCF of Numerators as per given numbers 9152/203, 8064/7699 is
GCF of Numerators i.e. for 9152,8064 is 64
LCM of denominators i.e. for 203,7699 is 1562897.
Thus, GCF of Fractions is 64/1562897.Finally, GCF of Fractions for 9152/203, 8064/7699 is 64/1562897.