GCF of 82/446, 4342/6055
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 82/446, 4342/6055 i.e 2/2700530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/446, 4342/6055.
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 82/446,4342/6055?
Given fractions are 82/446,4342/6055
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 82/446,4342/6055, numerators are 82,4342
Denominators are 446,6055
The GCF of 82,4342 is 2 .
LCM of 446,6055 is 2700530.
The greatest common factor of 82/446,4342/6055 = [GCF of 82,4342]/[LCM of 446,6055]= 2/2700530
Therefore, the GCF of 82/446,4342/6055 is 2/2700530.
To find the highest common factor of 82,4342, we have to find the factors of both numbers and list the highest common factor.
The factors of 82 are 1, 2, 41, 82
The factors of 4342 are 1, 2, 13, 26, 167, 334, 2171, 4342
The HCF of 82,4342 is 2.
Lets's calculate GCF of 82,4342
| 2 | 82, 4342 |
| 41, 2171 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 82,4342 By Matching Biggest Common Factor Method
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 4342
:1,2,13,26,167,334,2171,4342
Greatest Common Factor
We found the factors 82,4342 . The biggest common factor number is the GCF number.
So the greatest common factor 82,4342 is 2.
Lets's calculate LCM of 446,6055
Given numbers has no common factors except 1. So, there LCM is their product i.e 2700530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2700530
Therefore, the GCF of Fractions 82/446,4342/6055 is 2/2700530
Least Common Multiple of 446,6055 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 446,6055 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,6055) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(446,6055) x common factors =1 x 1 = 1
LCM(446,6055) = ( 446 × 6055 ) / 1
LCM(446,6055) = 2700530 / 1
LCM(446,6055) = 2700530
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FAQs on GCF of Fractions of 82/446, 4342/6055
1. What is the HCF of 82,4342?
The HCF of 82,4342 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 82/446, 4342/6055?
Answer: GCF of Numerators as per given numbers 82/446, 4342/6055 is
GCF of Numerators i.e. for 82,4342 is 2
LCM of denominators i.e. for 446,6055 is 2700530.
Thus, GCF of Fractions is 2/2700530.Finally, GCF of Fractions for 82/446, 4342/6055 is 2/2700530.