GCF of 344/994, 165/464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 344/994, 165/464 i.e 1/230608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 344/994, 165/464.
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 344/994,165/464?
Given fractions are 344/994,165/464
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 344/994,165/464, numerators are 344,165
Denominators are 994,464
The GCF of 344,165 is 1 .
LCM of 994,464 is 230608.
The greatest common factor of 344/994,165/464 = [GCF of 344,165]/[LCM of 994,464]= 1/230608
Therefore, the GCF of 344/994,165/464 is 1/230608.
To find the highest common factor of 344,165, we have to find the factors of both numbers and list the highest common factor.
The factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344
The factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165
The HCF of 344,165 is 1.
Lets's calculate GCF of 344,165
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 344,165 By Matching Biggest Common Factor Method
Now, list down the factors of 344
:1,2,4,8,43,86,172,344
Now, list down the factors of 165
:1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 344,165 . The biggest common factor number is the GCF number.
So the greatest common factor 344,165 is 1.
Lets's calculate LCM of 994,464
| 2 | 994, 464 |
| 497, 232 |
∴ So the LCM of the given numbers is 2 x 497 x 232 = 230608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230608
Therefore, the GCF of Fractions 344/994,165/464 is 1/230608
Least Common Multiple of 994,464 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 994,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,464) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(994,464) x common factors =2 x 1 = 2
LCM(994,464) = ( 994 × 464 ) / 2
LCM(994,464) = 461216 / 2
LCM(994,464) = 230608
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FAQs on GCF of Fractions of 344/994, 165/464
1. What is the HCF of 344,165?
The HCF of 344,165 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 344/994, 165/464?
Answer: GCF of Numerators as per given numbers 344/994, 165/464 is
GCF of Numerators i.e. for 344,165 is 1
LCM of denominators i.e. for 994,464 is 230608.
Thus, GCF of Fractions is 1/230608.Finally, GCF of Fractions for 344/994, 165/464 is 1/230608.