GCF of 346/35, 129/309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 346/35, 129/309 i.e 1/10815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 346/35, 129/309.
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 346/35,129/309?
Given fractions are 346/35,129/309
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 346/35,129/309, numerators are 346,129
Denominators are 35,309
The GCF of 346,129 is 1 .
LCM of 35,309 is 10815.
The greatest common factor of 346/35,129/309 = [GCF of 346,129]/[LCM of 35,309]= 1/10815
Therefore, the GCF of 346/35,129/309 is 1/10815.
To find the highest common factor of 346,129, we have to find the factors of both numbers and list the highest common factor.
The factors of 346 are 1, 2, 173, 346
The factors of 129 are 1, 3, 43, 129
The HCF of 346,129 is 1.
Lets's calculate GCF of 346,129
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 346,129 By Matching Biggest Common Factor Method
Now, list down the factors of 346
:1,2,173,346
Now, list down the factors of 129
:1,3,43,129
Greatest Common Factor
We found the factors 346,129 . The biggest common factor number is the GCF number.
So the greatest common factor 346,129 is 1.
Lets's calculate LCM of 35,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 10815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10815
Therefore, the GCF of Fractions 346/35,129/309 is 1/10815
Least Common Multiple of 35,309 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 35,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,309) x common factors =1 x 1 = 1
LCM(35,309) = ( 35 × 309 ) / 1
LCM(35,309) = 10815 / 1
LCM(35,309) = 10815
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 346/35, 129/309
1. What is the HCF of 346,129?
The HCF of 346,129 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 346/35, 129/309?
Answer: GCF of Numerators as per given numbers 346/35, 129/309 is
GCF of Numerators i.e. for 346,129 is 1
LCM of denominators i.e. for 35,309 is 10815.
Thus, GCF of Fractions is 1/10815.Finally, GCF of Fractions for 346/35, 129/309 is 1/10815.