GCF of 9488/894, 9712/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9488/894, 9712/105 i.e 16/31290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9488/894, 9712/105.
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 9488/894,9712/105?
Given fractions are 9488/894,9712/105
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 9488/894,9712/105, numerators are 9488,9712
Denominators are 894,105
The GCF of 9488,9712 is 16 .
LCM of 894,105 is 31290.
The greatest common factor of 9488/894,9712/105 = [GCF of 9488,9712]/[LCM of 894,105]= 16/31290
Therefore, the GCF of 9488/894,9712/105 is 16/31290.
To find the highest common factor of 9488,9712, we have to find the factors of both numbers and list the highest common factor.
The factors of 9488 are 1, 2, 4, 8, 16, 593, 1186, 2372, 4744, 9488
The factors of 9712 are 1, 2, 4, 8, 16, 607, 1214, 2428, 4856, 9712
The HCF of 9488,9712 is 16.
Lets's calculate GCF of 9488,9712
| 2 | 9488, 9712 |
| 2 | 4744, 4856 |
| 2 | 2372, 2428 |
| 2 | 1186, 1214 |
| 593, 607 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 9488,9712 By Matching Biggest Common Factor Method
Now, list down the factors of 9488
:1,2,4,8,16,593,1186,2372,4744,9488
Now, list down the factors of 9712
:1,2,4,8,16,607,1214,2428,4856,9712
Greatest Common Factor
We found the factors 9488,9712 . The biggest common factor number is the GCF number.
So the greatest common factor 9488,9712 is 16.
Lets's calculate LCM of 894,105
| 3 | 894, 105 |
| 298, 35 |
∴ So the LCM of the given numbers is 3 x 298 x 35 = 31290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/31290
Therefore, the GCF of Fractions 9488/894,9712/105 is 16/31290
Least Common Multiple of 894,105 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 894,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,105) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(894,105) x common factors =3 x 1 = 3
LCM(894,105) = ( 894 × 105 ) / 3
LCM(894,105) = 93870 / 3
LCM(894,105) = 31290
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FAQs on GCF of Fractions of 9488/894, 9712/105
1. What is the HCF of 9488,9712?
The HCF of 9488,9712 is 16
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 9488/894, 9712/105?
Answer: GCF of Numerators as per given numbers 9488/894, 9712/105 is
GCF of Numerators i.e. for 9488,9712 is 16
LCM of denominators i.e. for 894,105 is 31290.
Thus, GCF of Fractions is 16/31290.Finally, GCF of Fractions for 9488/894, 9712/105 is 16/31290.