GCF of 9993/982, 1059/7972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9993/982, 1059/7972 i.e 3/3914252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9993/982, 1059/7972.
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 9993/982,1059/7972?
Given fractions are 9993/982,1059/7972
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 9993/982,1059/7972, numerators are 9993,1059
Denominators are 982,7972
The GCF of 9993,1059 is 3 .
LCM of 982,7972 is 3914252.
The greatest common factor of 9993/982,1059/7972 = [GCF of 9993,1059]/[LCM of 982,7972]= 3/3914252
Therefore, the GCF of 9993/982,1059/7972 is 3/3914252.
To find the highest common factor of 9993,1059, we have to find the factors of both numbers and list the highest common factor.
The factors of 9993 are 1, 3, 3331, 9993
The factors of 1059 are 1, 3, 353, 1059
The HCF of 9993,1059 is 3.
Lets's calculate GCF of 9993,1059
| 3 | 9993, 1059 |
| 3331, 353 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9993,1059 By Matching Biggest Common Factor Method
Now, list down the factors of 9993
:1,3,3331,9993
Now, list down the factors of 1059
:1,3,353,1059
Greatest Common Factor
We found the factors 9993,1059 . The biggest common factor number is the GCF number.
So the greatest common factor 9993,1059 is 3.
Lets's calculate LCM of 982,7972
| 2 | 982, 7972 |
| 491, 3986 |
∴ So the LCM of the given numbers is 2 x 491 x 3986 = 3914252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3914252
Therefore, the GCF of Fractions 9993/982,1059/7972 is 3/3914252
Least Common Multiple of 982,7972 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 982,7972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,7972) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,7972) x common factors =2 x 1 = 2
LCM(982,7972) = ( 982 × 7972 ) / 2
LCM(982,7972) = 7828504 / 2
LCM(982,7972) = 3914252
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FAQs on GCF of Fractions of 9993/982, 1059/7972
1. What is the HCF of 9993,1059?
The HCF of 9993,1059 is 3
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 9993/982, 1059/7972?
Answer: GCF of Numerators as per given numbers 9993/982, 1059/7972 is
GCF of Numerators i.e. for 9993,1059 is 3
LCM of denominators i.e. for 982,7972 is 3914252.
Thus, GCF of Fractions is 3/3914252.Finally, GCF of Fractions for 9993/982, 1059/7972 is 3/3914252.