GCF of 8955/816, 9075/4366
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8955/816, 9075/4366 i.e 15/1781328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8955/816, 9075/4366.
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 8955/816,9075/4366?
Given fractions are 8955/816,9075/4366
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 8955/816,9075/4366, numerators are 8955,9075
Denominators are 816,4366
The GCF of 8955,9075 is 15 .
LCM of 816,4366 is 1781328.
The greatest common factor of 8955/816,9075/4366 = [GCF of 8955,9075]/[LCM of 816,4366]= 15/1781328
Therefore, the GCF of 8955/816,9075/4366 is 15/1781328.
To find the highest common factor of 8955,9075, we have to find the factors of both numbers and list the highest common factor.
The factors of 8955 are 1, 3, 5, 9, 15, 45, 199, 597, 995, 1791, 2985, 8955
The factors of 9075 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 121, 165, 275, 363, 605, 825, 1815, 3025, 9075
The HCF of 8955,9075 is 15.
Lets's calculate GCF of 8955,9075
| 3 | 8955, 9075 |
| 5 | 2985, 3025 |
| 597, 605 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 8955,9075 By Matching Biggest Common Factor Method
Now, list down the factors of 8955
:1,3,5,9,15,45,199,597,995,1791,2985,8955
Now, list down the factors of 9075
:1,3,5,11,15,25,33,55,75,121,165,275,363,605,825,1815,3025,9075
Greatest Common Factor
We found the factors 8955,9075 . The biggest common factor number is the GCF number.
So the greatest common factor 8955,9075 is 15.
Lets's calculate LCM of 816,4366
| 2 | 816, 4366 |
| 408, 2183 |
∴ So the LCM of the given numbers is 2 x 408 x 2183 = 1781328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1781328
Therefore, the GCF of Fractions 8955/816,9075/4366 is 15/1781328
Least Common Multiple of 816,4366 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 816,4366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,4366) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(816,4366) x common factors =2 x 1 = 2
LCM(816,4366) = ( 816 × 4366 ) / 2
LCM(816,4366) = 3562656 / 2
LCM(816,4366) = 1781328
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FAQs on GCF of Fractions of 8955/816, 9075/4366
1. What is the HCF of 8955,9075?
The HCF of 8955,9075 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 8955/816, 9075/4366?
Answer: GCF of Numerators as per given numbers 8955/816, 9075/4366 is
GCF of Numerators i.e. for 8955,9075 is 15
LCM of denominators i.e. for 816,4366 is 1781328.
Thus, GCF of Fractions is 15/1781328.Finally, GCF of Fractions for 8955/816, 9075/4366 is 15/1781328.