GCF of 8019/551, 9603/2125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8019/551, 9603/2125 i.e 99/1170875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8019/551, 9603/2125.
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 8019/551,9603/2125?
Given fractions are 8019/551,9603/2125
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 8019/551,9603/2125, numerators are 8019,9603
Denominators are 551,2125
The GCF of 8019,9603 is 99 .
LCM of 551,2125 is 1170875.
The greatest common factor of 8019/551,9603/2125 = [GCF of 8019,9603]/[LCM of 551,2125]= 99/1170875
Therefore, the GCF of 8019/551,9603/2125 is 99/1170875.
To find the highest common factor of 8019,9603, we have to find the factors of both numbers and list the highest common factor.
The factors of 8019 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 729, 891, 2673, 8019
The factors of 9603 are 1, 3, 9, 11, 33, 97, 99, 291, 873, 1067, 3201, 9603
The HCF of 8019,9603 is 99.
Lets's calculate GCF of 8019,9603
| 3 | 8019, 9603 |
| 3 | 2673, 3201 |
| 11 | 891, 1067 |
| 81, 97 |
∴ So the GCF of the given numbers is 3 x 3 x 11 = 99
Greatest Common Factor of 8019,9603 By Matching Biggest Common Factor Method
Now, list down the factors of 8019
:1,3,9,11,27,33,81,99,243,297,729,891,2673,8019
Now, list down the factors of 9603
:1,3,9,11,33,97,99,291,873,1067,3201,9603
Greatest Common Factor
We found the factors 8019,9603 . The biggest common factor number is the GCF number.
So the greatest common factor 8019,9603 is 99.
Lets's calculate LCM of 551,2125
Given numbers has no common factors except 1. So, there LCM is their product i.e 1170875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 99/1170875
Therefore, the GCF of Fractions 8019/551,9603/2125 is 99/1170875
Least Common Multiple of 551,2125 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 551,2125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,2125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,2125) x common factors =1 x 1 = 1
LCM(551,2125) = ( 551 × 2125 ) / 1
LCM(551,2125) = 1170875 / 1
LCM(551,2125) = 1170875
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8019/551, 9603/2125
1. What is the HCF of 8019,9603?
The HCF of 8019,9603 is 99
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 8019/551, 9603/2125?
Answer: GCF of Numerators as per given numbers 8019/551, 9603/2125 is
GCF of Numerators i.e. for 8019,9603 is 99
LCM of denominators i.e. for 551,2125 is 1170875.
Thus, GCF of Fractions is 99/1170875.Finally, GCF of Fractions for 8019/551, 9603/2125 is 99/1170875.