GCF of 9515/867, 4777/9882
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9515/867, 4777/9882 i.e 1/2855898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9515/867, 4777/9882.
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 9515/867,4777/9882?
Given fractions are 9515/867,4777/9882
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 9515/867,4777/9882, numerators are 9515,4777
Denominators are 867,9882
The GCF of 9515,4777 is 1 .
LCM of 867,9882 is 2855898.
The greatest common factor of 9515/867,4777/9882 = [GCF of 9515,4777]/[LCM of 867,9882]= 1/2855898
Therefore, the GCF of 9515/867,4777/9882 is 1/2855898.
To find the highest common factor of 9515,4777, we have to find the factors of both numbers and list the highest common factor.
The factors of 9515 are 1, 5, 11, 55, 173, 865, 1903, 9515
The factors of 4777 are 1, 17, 281, 4777
The HCF of 9515,4777 is 1.
Lets's calculate GCF of 9515,4777
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9515,4777 By Matching Biggest Common Factor Method
Now, list down the factors of 9515
:1,5,11,55,173,865,1903,9515
Now, list down the factors of 4777
:1,17,281,4777
Greatest Common Factor
We found the factors 9515,4777 . The biggest common factor number is the GCF number.
So the greatest common factor 9515,4777 is 1.
Lets's calculate LCM of 867,9882
| 3 | 867, 9882 |
| 289, 3294 |
∴ So the LCM of the given numbers is 3 x 289 x 3294 = 2855898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2855898
Therefore, the GCF of Fractions 9515/867,4777/9882 is 1/2855898
Least Common Multiple of 867,9882 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 867,9882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,9882) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,9882) x common factors =3 x 1 = 3
LCM(867,9882) = ( 867 × 9882 ) / 3
LCM(867,9882) = 8567694 / 3
LCM(867,9882) = 2855898
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9515/867, 4777/9882
1. What is the HCF of 9515,4777?
The HCF of 9515,4777 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 9515/867, 4777/9882?
Answer: GCF of Numerators as per given numbers 9515/867, 4777/9882 is
GCF of Numerators i.e. for 9515,4777 is 1
LCM of denominators i.e. for 867,9882 is 2855898.
Thus, GCF of Fractions is 1/2855898.Finally, GCF of Fractions for 9515/867, 4777/9882 is 1/2855898.