GCF of 9060/886, 5298/6111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9060/886, 5298/6111 i.e 6/5414346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9060/886, 5298/6111.
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 9060/886,5298/6111?
Given fractions are 9060/886,5298/6111
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 9060/886,5298/6111, numerators are 9060,5298
Denominators are 886,6111
The GCF of 9060,5298 is 6 .
LCM of 886,6111 is 5414346.
The greatest common factor of 9060/886,5298/6111 = [GCF of 9060,5298]/[LCM of 886,6111]= 6/5414346
Therefore, the GCF of 9060/886,5298/6111 is 6/5414346.
To find the highest common factor of 9060,5298, we have to find the factors of both numbers and list the highest common factor.
The factors of 9060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 151, 302, 453, 604, 755, 906, 1510, 1812, 2265, 3020, 4530, 9060
The factors of 5298 are 1, 2, 3, 6, 883, 1766, 2649, 5298
The HCF of 9060,5298 is 6.
Lets's calculate GCF of 9060,5298
| 2 | 9060, 5298 |
| 3 | 4530, 2649 |
| 1510, 883 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9060,5298 By Matching Biggest Common Factor Method
Now, list down the factors of 9060
:1,2,3,4,5,6,10,12,15,20,30,60,151,302,453,604,755,906,1510,1812,2265,3020,4530,9060
Now, list down the factors of 5298
:1,2,3,6,883,1766,2649,5298
Greatest Common Factor
We found the factors 9060,5298 . The biggest common factor number is the GCF number.
So the greatest common factor 9060,5298 is 6.
Lets's calculate LCM of 886,6111
Given numbers has no common factors except 1. So, there LCM is their product i.e 5414346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5414346
Therefore, the GCF of Fractions 9060/886,5298/6111 is 6/5414346
Least Common Multiple of 886,6111 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 886,6111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,6111) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(886,6111) x common factors =1 x 1 = 1
LCM(886,6111) = ( 886 × 6111 ) / 1
LCM(886,6111) = 5414346 / 1
LCM(886,6111) = 5414346
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FAQs on GCF of Fractions of 9060/886, 5298/6111
1. What is the HCF of 9060,5298?
The HCF of 9060,5298 is 6
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 9060/886, 5298/6111?
Answer: GCF of Numerators as per given numbers 9060/886, 5298/6111 is
GCF of Numerators i.e. for 9060,5298 is 6
LCM of denominators i.e. for 886,6111 is 5414346.
Thus, GCF of Fractions is 6/5414346.Finally, GCF of Fractions for 9060/886, 5298/6111 is 6/5414346.