GCF of 8755/825, 6047/8107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8755/825, 6047/8107 i.e 1/608025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8755/825, 6047/8107.
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 8755/825,6047/8107?
Given fractions are 8755/825,6047/8107
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 8755/825,6047/8107, numerators are 8755,6047
Denominators are 825,8107
The GCF of 8755,6047 is 1 .
LCM of 825,8107 is 608025.
The greatest common factor of 8755/825,6047/8107 = [GCF of 8755,6047]/[LCM of 825,8107]= 1/608025
Therefore, the GCF of 8755/825,6047/8107 is 1/608025.
To find the highest common factor of 8755,6047, we have to find the factors of both numbers and list the highest common factor.
The factors of 8755 are 1, 5, 17, 85, 103, 515, 1751, 8755
The factors of 6047 are 1, 6047
The HCF of 8755,6047 is 1.
Lets's calculate GCF of 8755,6047
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8755,6047 By Matching Biggest Common Factor Method
Now, list down the factors of 8755
:1,5,17,85,103,515,1751,8755
Now, list down the factors of 6047
:1,6047
Greatest Common Factor
We found the factors 8755,6047 . The biggest common factor number is the GCF number.
So the greatest common factor 8755,6047 is 1.
Lets's calculate LCM of 825,8107
| 11 | 825, 8107 |
| 75, 737 |
∴ So the LCM of the given numbers is 11 x 75 x 737 = 608025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/608025
Therefore, the GCF of Fractions 8755/825,6047/8107 is 1/608025
Least Common Multiple of 825,8107 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 825,8107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,8107) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(825,8107) x common factors =11 x 1 = 11
LCM(825,8107) = ( 825 × 8107 ) / 11
LCM(825,8107) = 6688275 / 11
LCM(825,8107) = 608025
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FAQs on GCF of Fractions of 8755/825, 6047/8107
1. What is the HCF of 8755,6047?
The HCF of 8755,6047 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 8755/825, 6047/8107?
Answer: GCF of Numerators as per given numbers 8755/825, 6047/8107 is
GCF of Numerators i.e. for 8755,6047 is 1
LCM of denominators i.e. for 825,8107 is 608025.
Thus, GCF of Fractions is 1/608025.Finally, GCF of Fractions for 8755/825, 6047/8107 is 1/608025.