GCF of 9376/128, 9568/2918
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9376/128, 9568/2918 i.e 32/186752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9376/128, 9568/2918.
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 9376/128,9568/2918?
Given fractions are 9376/128,9568/2918
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 9376/128,9568/2918, numerators are 9376,9568
Denominators are 128,2918
The GCF of 9376,9568 is 32 .
LCM of 128,2918 is 186752.
The greatest common factor of 9376/128,9568/2918 = [GCF of 9376,9568]/[LCM of 128,2918]= 32/186752
Therefore, the GCF of 9376/128,9568/2918 is 32/186752.
To find the highest common factor of 9376,9568, we have to find the factors of both numbers and list the highest common factor.
The factors of 9376 are 1, 2, 4, 8, 16, 32, 293, 586, 1172, 2344, 4688, 9376
The factors of 9568 are 1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784, 9568
The HCF of 9376,9568 is 32.
Lets's calculate GCF of 9376,9568
| 2 | 9376, 9568 |
| 2 | 4688, 4784 |
| 2 | 2344, 2392 |
| 2 | 1172, 1196 |
| 2 | 586, 598 |
| 293, 299 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 9376,9568 By Matching Biggest Common Factor Method
Now, list down the factors of 9376
:1,2,4,8,16,32,293,586,1172,2344,4688,9376
Now, list down the factors of 9568
:1,2,4,8,13,16,23,26,32,46,52,92,104,184,208,299,368,416,598,736,1196,2392,4784,9568
Greatest Common Factor
We found the factors 9376,9568 . The biggest common factor number is the GCF number.
So the greatest common factor 9376,9568 is 32.
Lets's calculate LCM of 128,2918
| 2 | 128, 2918 |
| 64, 1459 |
∴ So the LCM of the given numbers is 2 x 64 x 1459 = 186752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/186752
Therefore, the GCF of Fractions 9376/128,9568/2918 is 32/186752
Least Common Multiple of 128,2918 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 128,2918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,2918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(128,2918) x common factors =2 x 1 = 2
LCM(128,2918) = ( 128 × 2918 ) / 2
LCM(128,2918) = 373504 / 2
LCM(128,2918) = 186752
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FAQs on GCF of Fractions of 9376/128, 9568/2918
1. What is the HCF of 9376,9568?
The HCF of 9376,9568 is 32
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 9376/128, 9568/2918?
Answer: GCF of Numerators as per given numbers 9376/128, 9568/2918 is
GCF of Numerators i.e. for 9376,9568 is 32
LCM of denominators i.e. for 128,2918 is 186752.
Thus, GCF of Fractions is 32/186752.Finally, GCF of Fractions for 9376/128, 9568/2918 is 32/186752.