GCF of 638/305, 794/344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 638/305, 794/344 i.e 2/104920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 638/305, 794/344.
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 638/305,794/344?
Given fractions are 638/305,794/344
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 638/305,794/344, numerators are 638,794
Denominators are 305,344
The GCF of 638,794 is 2 .
LCM of 305,344 is 104920.
The greatest common factor of 638/305,794/344 = [GCF of 638,794]/[LCM of 305,344]= 2/104920
Therefore, the GCF of 638/305,794/344 is 2/104920.
To find the highest common factor of 638,794, we have to find the factors of both numbers and list the highest common factor.
The factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638
The factors of 794 are 1, 2, 397, 794
The HCF of 638,794 is 2.
Lets's calculate GCF of 638,794
| 2 | 638, 794 |
| 319, 397 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 638,794 By Matching Biggest Common Factor Method
Now, list down the factors of 638
:1,2,11,22,29,58,319,638
Now, list down the factors of 794
:1,2,397,794
Greatest Common Factor
We found the factors 638,794 . The biggest common factor number is the GCF number.
So the greatest common factor 638,794 is 2.
Lets's calculate LCM of 305,344
Given numbers has no common factors except 1. So, there LCM is their product i.e 104920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/104920
Therefore, the GCF of Fractions 638/305,794/344 is 2/104920
Least Common Multiple of 305,344 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 305,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,344) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,344) x common factors =1 x 1 = 1
LCM(305,344) = ( 305 × 344 ) / 1
LCM(305,344) = 104920 / 1
LCM(305,344) = 104920
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FAQs on GCF of Fractions of 638/305, 794/344
1. What is the HCF of 638,794?
The HCF of 638,794 is 2
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 638/305, 794/344?
Answer: GCF of Numerators as per given numbers 638/305, 794/344 is
GCF of Numerators i.e. for 638,794 is 2
LCM of denominators i.e. for 305,344 is 104920.
Thus, GCF of Fractions is 2/104920.Finally, GCF of Fractions for 638/305, 794/344 is 2/104920.