GCF of 9749/998, 8815/3940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9749/998, 8815/3940 i.e 1/1966060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9749/998, 8815/3940.
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 9749/998,8815/3940?
Given fractions are 9749/998,8815/3940
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 9749/998,8815/3940, numerators are 9749,8815
Denominators are 998,3940
The GCF of 9749,8815 is 1 .
LCM of 998,3940 is 1966060.
The greatest common factor of 9749/998,8815/3940 = [GCF of 9749,8815]/[LCM of 998,3940]= 1/1966060
Therefore, the GCF of 9749/998,8815/3940 is 1/1966060.
To find the highest common factor of 9749,8815, we have to find the factors of both numbers and list the highest common factor.
The factors of 9749 are 1, 9749
The factors of 8815 are 1, 5, 41, 43, 205, 215, 1763, 8815
The HCF of 9749,8815 is 1.
Lets's calculate GCF of 9749,8815
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9749,8815 By Matching Biggest Common Factor Method
Now, list down the factors of 9749
:1,9749
Now, list down the factors of 8815
:1,5,41,43,205,215,1763,8815
Greatest Common Factor
We found the factors 9749,8815 . The biggest common factor number is the GCF number.
So the greatest common factor 9749,8815 is 1.
Lets's calculate LCM of 998,3940
| 2 | 998, 3940 |
| 499, 1970 |
∴ So the LCM of the given numbers is 2 x 499 x 1970 = 1966060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1966060
Therefore, the GCF of Fractions 9749/998,8815/3940 is 1/1966060
Least Common Multiple of 998,3940 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 998,3940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,3940) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(998,3940) x common factors =2 x 1 = 2
LCM(998,3940) = ( 998 × 3940 ) / 2
LCM(998,3940) = 3932120 / 2
LCM(998,3940) = 1966060
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FAQs on GCF of Fractions of 9749/998, 8815/3940
1. What is the HCF of 9749,8815?
The HCF of 9749,8815 is 1
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 9749/998, 8815/3940?
Answer: GCF of Numerators as per given numbers 9749/998, 8815/3940 is
GCF of Numerators i.e. for 9749,8815 is 1
LCM of denominators i.e. for 998,3940 is 1966060.
Thus, GCF of Fractions is 1/1966060.Finally, GCF of Fractions for 9749/998, 8815/3940 is 1/1966060.