GCF of 9825/891, 9810/7325
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9825/891, 9810/7325 i.e 15/6526575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9825/891, 9810/7325.
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 9825/891,9810/7325?
Given fractions are 9825/891,9810/7325
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 9825/891,9810/7325, numerators are 9825,9810
Denominators are 891,7325
The GCF of 9825,9810 is 15 .
LCM of 891,7325 is 6526575.
The greatest common factor of 9825/891,9810/7325 = [GCF of 9825,9810]/[LCM of 891,7325]= 15/6526575
Therefore, the GCF of 9825/891,9810/7325 is 15/6526575.
To find the highest common factor of 9825,9810, we have to find the factors of both numbers and list the highest common factor.
The factors of 9825 are 1, 3, 5, 15, 25, 75, 131, 393, 655, 1965, 3275, 9825
The factors of 9810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810
The HCF of 9825,9810 is 15.
Lets's calculate GCF of 9825,9810
| 3 | 9825, 9810 |
| 5 | 3275, 3270 |
| 655, 654 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 9825,9810 By Matching Biggest Common Factor Method
Now, list down the factors of 9825
:1,3,5,15,25,75,131,393,655,1965,3275,9825
Now, list down the factors of 9810
:1,2,3,5,6,9,10,15,18,30,45,90,109,218,327,545,654,981,1090,1635,1962,3270,4905,9810
Greatest Common Factor
We found the factors 9825,9810 . The biggest common factor number is the GCF number.
So the greatest common factor 9825,9810 is 15.
Lets's calculate LCM of 891,7325
Given numbers has no common factors except 1. So, there LCM is their product i.e 6526575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/6526575
Therefore, the GCF of Fractions 9825/891,9810/7325 is 15/6526575
Least Common Multiple of 891,7325 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 891,7325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,7325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(891,7325) x common factors =1 x 1 = 1
LCM(891,7325) = ( 891 × 7325 ) / 1
LCM(891,7325) = 6526575 / 1
LCM(891,7325) = 6526575
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FAQs on GCF of Fractions of 9825/891, 9810/7325
1. What is the HCF of 9825,9810?
The HCF of 9825,9810 is 15
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 9825/891, 9810/7325?
Answer: GCF of Numerators as per given numbers 9825/891, 9810/7325 is
GCF of Numerators i.e. for 9825,9810 is 15
LCM of denominators i.e. for 891,7325 is 6526575.
Thus, GCF of Fractions is 15/6526575.Finally, GCF of Fractions for 9825/891, 9810/7325 is 15/6526575.