GCF of 8094/802, 3663/4138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8094/802, 3663/4138 i.e 3/1659338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8094/802, 3663/4138.
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 8094/802,3663/4138?
Given fractions are 8094/802,3663/4138
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 8094/802,3663/4138, numerators are 8094,3663
Denominators are 802,4138
The GCF of 8094,3663 is 3 .
LCM of 802,4138 is 1659338.
The greatest common factor of 8094/802,3663/4138 = [GCF of 8094,3663]/[LCM of 802,4138]= 3/1659338
Therefore, the GCF of 8094/802,3663/4138 is 3/1659338.
To find the highest common factor of 8094,3663, we have to find the factors of both numbers and list the highest common factor.
The factors of 8094 are 1, 2, 3, 6, 19, 38, 57, 71, 114, 142, 213, 426, 1349, 2698, 4047, 8094
The factors of 3663 are 1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663
The HCF of 8094,3663 is 3.
Lets's calculate GCF of 8094,3663
| 3 | 8094, 3663 |
| 2698, 1221 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8094,3663 By Matching Biggest Common Factor Method
Now, list down the factors of 8094
:1,2,3,6,19,38,57,71,114,142,213,426,1349,2698,4047,8094
Now, list down the factors of 3663
:1,3,9,11,33,37,99,111,333,407,1221,3663
Greatest Common Factor
We found the factors 8094,3663 . The biggest common factor number is the GCF number.
So the greatest common factor 8094,3663 is 3.
Lets's calculate LCM of 802,4138
| 2 | 802, 4138 |
| 401, 2069 |
∴ So the LCM of the given numbers is 2 x 401 x 2069 = 1659338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1659338
Therefore, the GCF of Fractions 8094/802,3663/4138 is 3/1659338
Least Common Multiple of 802,4138 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 802,4138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,4138) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,4138) x common factors =2 x 1 = 2
LCM(802,4138) = ( 802 × 4138 ) / 2
LCM(802,4138) = 3318676 / 2
LCM(802,4138) = 1659338
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FAQs on GCF of Fractions of 8094/802, 3663/4138
1. What is the HCF of 8094,3663?
The HCF of 8094,3663 is 3
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 8094/802, 3663/4138?
Answer: GCF of Numerators as per given numbers 8094/802, 3663/4138 is
GCF of Numerators i.e. for 8094,3663 is 3
LCM of denominators i.e. for 802,4138 is 1659338.
Thus, GCF of Fractions is 3/1659338.Finally, GCF of Fractions for 8094/802, 3663/4138 is 3/1659338.