GCF of 9384/510, 7981/9495
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9384/510, 7981/9495 i.e 23/322830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9384/510, 7981/9495.
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 9384/510,7981/9495?
Given fractions are 9384/510,7981/9495
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 9384/510,7981/9495, numerators are 9384,7981
Denominators are 510,9495
The GCF of 9384,7981 is 23 .
LCM of 510,9495 is 322830.
The greatest common factor of 9384/510,7981/9495 = [GCF of 9384,7981]/[LCM of 510,9495]= 23/322830
Therefore, the GCF of 9384/510,7981/9495 is 23/322830.
To find the highest common factor of 9384,7981, we have to find the factors of both numbers and list the highest common factor.
The factors of 9384 are 1, 2, 3, 4, 6, 8, 12, 17, 23, 24, 34, 46, 51, 68, 69, 92, 102, 136, 138, 184, 204, 276, 391, 408, 552, 782, 1173, 1564, 2346, 3128, 4692, 9384
The factors of 7981 are 1, 23, 347, 7981
The HCF of 9384,7981 is 23.
Lets's calculate GCF of 9384,7981
| 23 | 9384, 7981 |
| 408, 347 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 9384,7981 By Matching Biggest Common Factor Method
Now, list down the factors of 9384
:1,2,3,4,6,8,12,17,23,24,34,46,51,68,69,92,102,136,138,184,204,276,391,408,552,782,1173,1564,2346,3128,4692,9384
Now, list down the factors of 7981
:1,23,347,7981
Greatest Common Factor
We found the factors 9384,7981 . The biggest common factor number is the GCF number.
So the greatest common factor 9384,7981 is 23.
Lets's calculate LCM of 510,9495
| 3 | 510, 9495 |
| 5 | 170, 3165 |
| 34, 633 |
∴ So the LCM of the given numbers is 3 x 5 x 34 x 633 = 322830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/322830
Therefore, the GCF of Fractions 9384/510,7981/9495 is 23/322830
Least Common Multiple of 510,9495 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 510,9495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,9495) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(510,9495) x common factors =15 x 1 = 15
LCM(510,9495) = ( 510 × 9495 ) / 15
LCM(510,9495) = 4842450 / 15
LCM(510,9495) = 322830
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FAQs on GCF of Fractions of 9384/510, 7981/9495
1. What is the HCF of 9384,7981?
The HCF of 9384,7981 is 23
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 9384/510, 7981/9495?
Answer: GCF of Numerators as per given numbers 9384/510, 7981/9495 is
GCF of Numerators i.e. for 9384,7981 is 23
LCM of denominators i.e. for 510,9495 is 322830.
Thus, GCF of Fractions is 23/322830.Finally, GCF of Fractions for 9384/510, 7981/9495 is 23/322830.