GCF of 8415/866, 8767/4044
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8415/866, 8767/4044 i.e 11/1751052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8415/866, 8767/4044.
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 8415/866,8767/4044?
Given fractions are 8415/866,8767/4044
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 8415/866,8767/4044, numerators are 8415,8767
Denominators are 866,4044
The GCF of 8415,8767 is 11 .
LCM of 866,4044 is 1751052.
The greatest common factor of 8415/866,8767/4044 = [GCF of 8415,8767]/[LCM of 866,4044]= 11/1751052
Therefore, the GCF of 8415/866,8767/4044 is 11/1751052.
To find the highest common factor of 8415,8767, we have to find the factors of both numbers and list the highest common factor.
The factors of 8415 are 1, 3, 5, 9, 11, 15, 17, 33, 45, 51, 55, 85, 99, 153, 165, 187, 255, 495, 561, 765, 935, 1683, 2805, 8415
The factors of 8767 are 1, 11, 797, 8767
The HCF of 8415,8767 is 11.
Lets's calculate GCF of 8415,8767
| 11 | 8415, 8767 |
| 765, 797 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8415,8767 By Matching Biggest Common Factor Method
Now, list down the factors of 8415
:1,3,5,9,11,15,17,33,45,51,55,85,99,153,165,187,255,495,561,765,935,1683,2805,8415
Now, list down the factors of 8767
:1,11,797,8767
Greatest Common Factor
We found the factors 8415,8767 . The biggest common factor number is the GCF number.
So the greatest common factor 8415,8767 is 11.
Lets's calculate LCM of 866,4044
| 2 | 866, 4044 |
| 433, 2022 |
∴ So the LCM of the given numbers is 2 x 433 x 2022 = 1751052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1751052
Therefore, the GCF of Fractions 8415/866,8767/4044 is 11/1751052
Least Common Multiple of 866,4044 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 866,4044 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,4044) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(866,4044) x common factors =2 x 1 = 2
LCM(866,4044) = ( 866 × 4044 ) / 2
LCM(866,4044) = 3502104 / 2
LCM(866,4044) = 1751052
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8415/866, 8767/4044
1. What is the HCF of 8415,8767?
The HCF of 8415,8767 is 11
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 8415/866, 8767/4044?
Answer: GCF of Numerators as per given numbers 8415/866, 8767/4044 is
GCF of Numerators i.e. for 8415,8767 is 11
LCM of denominators i.e. for 866,4044 is 1751052.
Thus, GCF of Fractions is 11/1751052.Finally, GCF of Fractions for 8415/866, 8767/4044 is 11/1751052.