GCF of 9066/846, 8116/8102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9066/846, 8116/8102 i.e 2/3427146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9066/846, 8116/8102.
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 9066/846,8116/8102?
Given fractions are 9066/846,8116/8102
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 9066/846,8116/8102, numerators are 9066,8116
Denominators are 846,8102
The GCF of 9066,8116 is 2 .
LCM of 846,8102 is 3427146.
The greatest common factor of 9066/846,8116/8102 = [GCF of 9066,8116]/[LCM of 846,8102]= 2/3427146
Therefore, the GCF of 9066/846,8116/8102 is 2/3427146.
To find the highest common factor of 9066,8116, we have to find the factors of both numbers and list the highest common factor.
The factors of 9066 are 1, 2, 3, 6, 1511, 3022, 4533, 9066
The factors of 8116 are 1, 2, 4, 2029, 4058, 8116
The HCF of 9066,8116 is 2.
Lets's calculate GCF of 9066,8116
| 2 | 9066, 8116 |
| 4533, 4058 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9066,8116 By Matching Biggest Common Factor Method
Now, list down the factors of 9066
:1,2,3,6,1511,3022,4533,9066
Now, list down the factors of 8116
:1,2,4,2029,4058,8116
Greatest Common Factor
We found the factors 9066,8116 . The biggest common factor number is the GCF number.
So the greatest common factor 9066,8116 is 2.
Lets's calculate LCM of 846,8102
| 2 | 846, 8102 |
| 423, 4051 |
∴ So the LCM of the given numbers is 2 x 423 x 4051 = 3427146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3427146
Therefore, the GCF of Fractions 9066/846,8116/8102 is 2/3427146
Least Common Multiple of 846,8102 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 846,8102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,8102) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(846,8102) x common factors =2 x 1 = 2
LCM(846,8102) = ( 846 × 8102 ) / 2
LCM(846,8102) = 6854292 / 2
LCM(846,8102) = 3427146
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FAQs on GCF of Fractions of 9066/846, 8116/8102
1. What is the HCF of 9066,8116?
The HCF of 9066,8116 is 2
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 9066/846, 8116/8102?
Answer: GCF of Numerators as per given numbers 9066/846, 8116/8102 is
GCF of Numerators i.e. for 9066,8116 is 2
LCM of denominators i.e. for 846,8102 is 3427146.
Thus, GCF of Fractions is 2/3427146.Finally, GCF of Fractions for 9066/846, 8116/8102 is 2/3427146.