GCF of 9892/115, 9132/512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9892/115, 9132/512 i.e 4/58880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9892/115, 9132/512.
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 9892/115,9132/512?
Given fractions are 9892/115,9132/512
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 9892/115,9132/512, numerators are 9892,9132
Denominators are 115,512
The GCF of 9892,9132 is 4 .
LCM of 115,512 is 58880.
The greatest common factor of 9892/115,9132/512 = [GCF of 9892,9132]/[LCM of 115,512]= 4/58880
Therefore, the GCF of 9892/115,9132/512 is 4/58880.
To find the highest common factor of 9892,9132, we have to find the factors of both numbers and list the highest common factor.
The factors of 9892 are 1, 2, 4, 2473, 4946, 9892
The factors of 9132 are 1, 2, 3, 4, 6, 12, 761, 1522, 2283, 3044, 4566, 9132
The HCF of 9892,9132 is 4.
Lets's calculate GCF of 9892,9132
| 2 | 9892, 9132 |
| 2 | 4946, 4566 |
| 2473, 2283 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9892,9132 By Matching Biggest Common Factor Method
Now, list down the factors of 9892
:1,2,4,2473,4946,9892
Now, list down the factors of 9132
:1,2,3,4,6,12,761,1522,2283,3044,4566,9132
Greatest Common Factor
We found the factors 9892,9132 . The biggest common factor number is the GCF number.
So the greatest common factor 9892,9132 is 4.
Lets's calculate LCM of 115,512
Given numbers has no common factors except 1. So, there LCM is their product i.e 58880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/58880
Therefore, the GCF of Fractions 9892/115,9132/512 is 4/58880
Least Common Multiple of 115,512 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 115,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,512) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,512) x common factors =1 x 1 = 1
LCM(115,512) = ( 115 × 512 ) / 1
LCM(115,512) = 58880 / 1
LCM(115,512) = 58880
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FAQs on GCF of Fractions of 9892/115, 9132/512
1. What is the HCF of 9892,9132?
The HCF of 9892,9132 is 4
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 9892/115, 9132/512?
Answer: GCF of Numerators as per given numbers 9892/115, 9132/512 is
GCF of Numerators i.e. for 9892,9132 is 4
LCM of denominators i.e. for 115,512 is 58880.
Thus, GCF of Fractions is 4/58880.Finally, GCF of Fractions for 9892/115, 9132/512 is 4/58880.