GCF of 335/341, 1710/353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 335/341, 1710/353 i.e 5/120373 easily. The following is the detailed procedure to determine the greatest common factor of fractions 335/341, 1710/353.
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 335/341,1710/353?
Given fractions are 335/341,1710/353
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 335/341,1710/353, numerators are 335,1710
Denominators are 341,353
The GCF of 335,1710 is 5 .
LCM of 341,353 is 120373.
The greatest common factor of 335/341,1710/353 = [GCF of 335,1710]/[LCM of 341,353]= 5/120373
Therefore, the GCF of 335/341,1710/353 is 5/120373.
To find the highest common factor of 335,1710, we have to find the factors of both numbers and list the highest common factor.
The factors of 335 are 1, 5, 67, 335
The factors of 1710 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 570, 855, 1710
The HCF of 335,1710 is 5.
Lets's calculate GCF of 335,1710
| 5 | 335, 1710 |
| 67, 342 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 335,1710 By Matching Biggest Common Factor Method
Now, list down the factors of 335
:1,5,67,335
Now, list down the factors of 1710
:1,2,3,5,6,9,10,15,18,19,30,38,45,57,90,95,114,171,190,285,342,570,855,1710
Greatest Common Factor
We found the factors 335,1710 . The biggest common factor number is the GCF number.
So the greatest common factor 335,1710 is 5.
Lets's calculate LCM of 341,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 120373
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/120373
Therefore, the GCF of Fractions 335/341,1710/353 is 5/120373
Least Common Multiple of 341,353 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 341,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(341,353) x common factors =1 x 1 = 1
LCM(341,353) = ( 341 × 353 ) / 1
LCM(341,353) = 120373 / 1
LCM(341,353) = 120373
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FAQs on GCF of Fractions of 335/341, 1710/353
1. What is the HCF of 335,1710?
The HCF of 335,1710 is 5
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 335/341, 1710/353?
Answer: GCF of Numerators as per given numbers 335/341, 1710/353 is
GCF of Numerators i.e. for 335,1710 is 5
LCM of denominators i.e. for 341,353 is 120373.
Thus, GCF of Fractions is 5/120373.Finally, GCF of Fractions for 335/341, 1710/353 is 5/120373.