GCF of 5404/668, 8386/129
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5404/668, 8386/129 i.e 14/86172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5404/668, 8386/129.
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 5404/668,8386/129?
Given fractions are 5404/668,8386/129
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 5404/668,8386/129, numerators are 5404,8386
Denominators are 668,129
The GCF of 5404,8386 is 14 .
LCM of 668,129 is 86172.
The greatest common factor of 5404/668,8386/129 = [GCF of 5404,8386]/[LCM of 668,129]= 14/86172
Therefore, the GCF of 5404/668,8386/129 is 14/86172.
To find the highest common factor of 5404,8386, we have to find the factors of both numbers and list the highest common factor.
The factors of 5404 are 1, 2, 4, 7, 14, 28, 193, 386, 772, 1351, 2702, 5404
The factors of 8386 are 1, 2, 7, 14, 599, 1198, 4193, 8386
The HCF of 5404,8386 is 14.
Lets's calculate GCF of 5404,8386
| 2 | 5404, 8386 |
| 7 | 2702, 4193 |
| 386, 599 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 5404,8386 By Matching Biggest Common Factor Method
Now, list down the factors of 5404
:1,2,4,7,14,28,193,386,772,1351,2702,5404
Now, list down the factors of 8386
:1,2,7,14,599,1198,4193,8386
Greatest Common Factor
We found the factors 5404,8386 . The biggest common factor number is the GCF number.
So the greatest common factor 5404,8386 is 14.
Lets's calculate LCM of 668,129
Given numbers has no common factors except 1. So, there LCM is their product i.e 86172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/86172
Therefore, the GCF of Fractions 5404/668,8386/129 is 14/86172
Least Common Multiple of 668,129 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 668,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(668,129) x common factors =1 x 1 = 1
LCM(668,129) = ( 668 × 129 ) / 1
LCM(668,129) = 86172 / 1
LCM(668,129) = 86172
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FAQs on GCF of Fractions of 5404/668, 8386/129
1. What is the HCF of 5404,8386?
The HCF of 5404,8386 is 14
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 5404/668, 8386/129?
Answer: GCF of Numerators as per given numbers 5404/668, 8386/129 is
GCF of Numerators i.e. for 5404,8386 is 14
LCM of denominators i.e. for 668,129 is 86172.
Thus, GCF of Fractions is 14/86172.Finally, GCF of Fractions for 5404/668, 8386/129 is 14/86172.