GCF of 9818/740, 9966/8590
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9818/740, 9966/8590 i.e 2/635660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9818/740, 9966/8590.
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 9818/740,9966/8590?
Given fractions are 9818/740,9966/8590
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 9818/740,9966/8590, numerators are 9818,9966
Denominators are 740,8590
The GCF of 9818,9966 is 2 .
LCM of 740,8590 is 635660.
The greatest common factor of 9818/740,9966/8590 = [GCF of 9818,9966]/[LCM of 740,8590]= 2/635660
Therefore, the GCF of 9818/740,9966/8590 is 2/635660.
To find the highest common factor of 9818,9966, we have to find the factors of both numbers and list the highest common factor.
The factors of 9818 are 1, 2, 4909, 9818
The factors of 9966 are 1, 2, 3, 6, 11, 22, 33, 66, 151, 302, 453, 906, 1661, 3322, 4983, 9966
The HCF of 9818,9966 is 2.
Lets's calculate GCF of 9818,9966
| 2 | 9818, 9966 |
| 4909, 4983 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9818,9966 By Matching Biggest Common Factor Method
Now, list down the factors of 9818
:1,2,4909,9818
Now, list down the factors of 9966
:1,2,3,6,11,22,33,66,151,302,453,906,1661,3322,4983,9966
Greatest Common Factor
We found the factors 9818,9966 . The biggest common factor number is the GCF number.
So the greatest common factor 9818,9966 is 2.
Lets's calculate LCM of 740,8590
| 2 | 740, 8590 |
| 5 | 370, 4295 |
| 74, 859 |
∴ So the LCM of the given numbers is 2 x 5 x 74 x 859 = 635660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/635660
Therefore, the GCF of Fractions 9818/740,9966/8590 is 2/635660
Least Common Multiple of 740,8590 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 740,8590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,8590) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(740,8590) x common factors =10 x 1 = 10
LCM(740,8590) = ( 740 × 8590 ) / 10
LCM(740,8590) = 6356600 / 10
LCM(740,8590) = 635660
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FAQs on GCF of Fractions of 9818/740, 9966/8590
1. What is the HCF of 9818,9966?
The HCF of 9818,9966 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 9818/740, 9966/8590?
Answer: GCF of Numerators as per given numbers 9818/740, 9966/8590 is
GCF of Numerators i.e. for 9818,9966 is 2
LCM of denominators i.e. for 740,8590 is 635660.
Thus, GCF of Fractions is 2/635660.Finally, GCF of Fractions for 9818/740, 9966/8590 is 2/635660.