GCF of 9088/330, 9855/6854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9088/330, 9855/6854 i.e 1/1130910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9088/330, 9855/6854.
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 9088/330,9855/6854?
Given fractions are 9088/330,9855/6854
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 9088/330,9855/6854, numerators are 9088,9855
Denominators are 330,6854
The GCF of 9088,9855 is 1 .
LCM of 330,6854 is 1130910.
The greatest common factor of 9088/330,9855/6854 = [GCF of 9088,9855]/[LCM of 330,6854]= 1/1130910
Therefore, the GCF of 9088/330,9855/6854 is 1/1130910.
To find the highest common factor of 9088,9855, we have to find the factors of both numbers and list the highest common factor.
The factors of 9088 are 1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 284, 568, 1136, 2272, 4544, 9088
The factors of 9855 are 1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285, 9855
The HCF of 9088,9855 is 1.
Lets's calculate GCF of 9088,9855
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9088,9855 By Matching Biggest Common Factor Method
Now, list down the factors of 9088
:1,2,4,8,16,32,64,71,128,142,284,568,1136,2272,4544,9088
Now, list down the factors of 9855
:1,3,5,9,15,27,45,73,135,219,365,657,1095,1971,3285,9855
Greatest Common Factor
We found the factors 9088,9855 . The biggest common factor number is the GCF number.
So the greatest common factor 9088,9855 is 1.
Lets's calculate LCM of 330,6854
| 2 | 330, 6854 |
| 165, 3427 |
∴ So the LCM of the given numbers is 2 x 165 x 3427 = 1130910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1130910
Therefore, the GCF of Fractions 9088/330,9855/6854 is 1/1130910
Least Common Multiple of 330,6854 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 330,6854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,6854) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(330,6854) x common factors =2 x 1 = 2
LCM(330,6854) = ( 330 × 6854 ) / 2
LCM(330,6854) = 2261820 / 2
LCM(330,6854) = 1130910
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FAQs on GCF of Fractions of 9088/330, 9855/6854
1. What is the HCF of 9088,9855?
The HCF of 9088,9855 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 9088/330, 9855/6854?
Answer: GCF of Numerators as per given numbers 9088/330, 9855/6854 is
GCF of Numerators i.e. for 9088,9855 is 1
LCM of denominators i.e. for 330,6854 is 1130910.
Thus, GCF of Fractions is 1/1130910.Finally, GCF of Fractions for 9088/330, 9855/6854 is 1/1130910.