GCF of 9801/234, 5943/7923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9801/234, 5943/7923 i.e 3/617994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9801/234, 5943/7923.
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 9801/234,5943/7923?
Given fractions are 9801/234,5943/7923
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 9801/234,5943/7923, numerators are 9801,5943
Denominators are 234,7923
The GCF of 9801,5943 is 3 .
LCM of 234,7923 is 617994.
The greatest common factor of 9801/234,5943/7923 = [GCF of 9801,5943]/[LCM of 234,7923]= 3/617994
Therefore, the GCF of 9801/234,5943/7923 is 3/617994.
To find the highest common factor of 9801,5943, we have to find the factors of both numbers and list the highest common factor.
The factors of 9801 are 1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801
The factors of 5943 are 1, 3, 7, 21, 283, 849, 1981, 5943
The HCF of 9801,5943 is 3.
Lets's calculate GCF of 9801,5943
| 3 | 9801, 5943 |
| 3267, 1981 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9801,5943 By Matching Biggest Common Factor Method
Now, list down the factors of 9801
:1,3,9,11,27,33,81,99,121,297,363,891,1089,3267,9801
Now, list down the factors of 5943
:1,3,7,21,283,849,1981,5943
Greatest Common Factor
We found the factors 9801,5943 . The biggest common factor number is the GCF number.
So the greatest common factor 9801,5943 is 3.
Lets's calculate LCM of 234,7923
| 3 | 234, 7923 |
| 78, 2641 |
∴ So the LCM of the given numbers is 3 x 78 x 2641 = 617994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/617994
Therefore, the GCF of Fractions 9801/234,5943/7923 is 3/617994
Least Common Multiple of 234,7923 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 234,7923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,7923) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(234,7923) x common factors =3 x 1 = 3
LCM(234,7923) = ( 234 × 7923 ) / 3
LCM(234,7923) = 1853982 / 3
LCM(234,7923) = 617994
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FAQs on GCF of Fractions of 9801/234, 5943/7923
1. What is the HCF of 9801,5943?
The HCF of 9801,5943 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 9801/234, 5943/7923?
Answer: GCF of Numerators as per given numbers 9801/234, 5943/7923 is
GCF of Numerators i.e. for 9801,5943 is 3
LCM of denominators i.e. for 234,7923 is 617994.
Thus, GCF of Fractions is 3/617994.Finally, GCF of Fractions for 9801/234, 5943/7923 is 3/617994.