GCF of 5505/394, 5344/5672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5505/394, 5344/5672 i.e 1/1117384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5505/394, 5344/5672.
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 5505/394,5344/5672?
Given fractions are 5505/394,5344/5672
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 5505/394,5344/5672, numerators are 5505,5344
Denominators are 394,5672
The GCF of 5505,5344 is 1 .
LCM of 394,5672 is 1117384.
The greatest common factor of 5505/394,5344/5672 = [GCF of 5505,5344]/[LCM of 394,5672]= 1/1117384
Therefore, the GCF of 5505/394,5344/5672 is 1/1117384.
To find the highest common factor of 5505,5344, we have to find the factors of both numbers and list the highest common factor.
The factors of 5505 are 1, 3, 5, 15, 367, 1101, 1835, 5505
The factors of 5344 are 1, 2, 4, 8, 16, 32, 167, 334, 668, 1336, 2672, 5344
The HCF of 5505,5344 is 1.
Lets's calculate GCF of 5505,5344
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5505,5344 By Matching Biggest Common Factor Method
Now, list down the factors of 5505
:1,3,5,15,367,1101,1835,5505
Now, list down the factors of 5344
:1,2,4,8,16,32,167,334,668,1336,2672,5344
Greatest Common Factor
We found the factors 5505,5344 . The biggest common factor number is the GCF number.
So the greatest common factor 5505,5344 is 1.
Lets's calculate LCM of 394,5672
| 2 | 394, 5672 |
| 197, 2836 |
∴ So the LCM of the given numbers is 2 x 197 x 2836 = 1117384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1117384
Therefore, the GCF of Fractions 5505/394,5344/5672 is 1/1117384
Least Common Multiple of 394,5672 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 394,5672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,5672) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,5672) x common factors =2 x 1 = 2
LCM(394,5672) = ( 394 × 5672 ) / 2
LCM(394,5672) = 2234768 / 2
LCM(394,5672) = 1117384
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FAQs on GCF of Fractions of 5505/394, 5344/5672
1. What is the HCF of 5505,5344?
The HCF of 5505,5344 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 5505/394, 5344/5672?
Answer: GCF of Numerators as per given numbers 5505/394, 5344/5672 is
GCF of Numerators i.e. for 5505,5344 is 1
LCM of denominators i.e. for 394,5672 is 1117384.
Thus, GCF of Fractions is 1/1117384.Finally, GCF of Fractions for 5505/394, 5344/5672 is 1/1117384.