GCF of 9122/330, 1060/6517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9122/330, 1060/6517 i.e 2/2150610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9122/330, 1060/6517.
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 9122/330,1060/6517?
Given fractions are 9122/330,1060/6517
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 9122/330,1060/6517, numerators are 9122,1060
Denominators are 330,6517
The GCF of 9122,1060 is 2 .
LCM of 330,6517 is 2150610.
The greatest common factor of 9122/330,1060/6517 = [GCF of 9122,1060]/[LCM of 330,6517]= 2/2150610
Therefore, the GCF of 9122/330,1060/6517 is 2/2150610.
To find the highest common factor of 9122,1060, we have to find the factors of both numbers and list the highest common factor.
The factors of 9122 are 1, 2, 4561, 9122
The factors of 1060 are 1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060
The HCF of 9122,1060 is 2.
Lets's calculate GCF of 9122,1060
| 2 | 9122, 1060 |
| 4561, 530 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9122,1060 By Matching Biggest Common Factor Method
Now, list down the factors of 9122
:1,2,4561,9122
Now, list down the factors of 1060
:1,2,4,5,10,20,53,106,212,265,530,1060
Greatest Common Factor
We found the factors 9122,1060 . The biggest common factor number is the GCF number.
So the greatest common factor 9122,1060 is 2.
Lets's calculate LCM of 330,6517
Given numbers has no common factors except 1. So, there LCM is their product i.e 2150610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2150610
Therefore, the GCF of Fractions 9122/330,1060/6517 is 2/2150610
Least Common Multiple of 330,6517 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 330,6517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,6517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(330,6517) x common factors =1 x 1 = 1
LCM(330,6517) = ( 330 × 6517 ) / 1
LCM(330,6517) = 2150610 / 1
LCM(330,6517) = 2150610
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FAQs on GCF of Fractions of 9122/330, 1060/6517
1. What is the HCF of 9122,1060?
The HCF of 9122,1060 is 2
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 9122/330, 1060/6517?
Answer: GCF of Numerators as per given numbers 9122/330, 1060/6517 is
GCF of Numerators i.e. for 9122,1060 is 2
LCM of denominators i.e. for 330,6517 is 2150610.
Thus, GCF of Fractions is 2/2150610.Finally, GCF of Fractions for 9122/330, 1060/6517 is 2/2150610.