GCF of 501/342, 4905/415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 501/342, 4905/415 i.e 3/141930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 501/342, 4905/415.
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 501/342,4905/415?
Given fractions are 501/342,4905/415
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 501/342,4905/415, numerators are 501,4905
Denominators are 342,415
The GCF of 501,4905 is 3 .
LCM of 342,415 is 141930.
The greatest common factor of 501/342,4905/415 = [GCF of 501,4905]/[LCM of 342,415]= 3/141930
Therefore, the GCF of 501/342,4905/415 is 3/141930.
To find the highest common factor of 501,4905, we have to find the factors of both numbers and list the highest common factor.
The factors of 501 are 1, 3, 167, 501
The factors of 4905 are 1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635, 4905
The HCF of 501,4905 is 3.
Lets's calculate GCF of 501,4905
| 3 | 501, 4905 |
| 167, 1635 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 501,4905 By Matching Biggest Common Factor Method
Now, list down the factors of 501
:1,3,167,501
Now, list down the factors of 4905
:1,3,5,9,15,45,109,327,545,981,1635,4905
Greatest Common Factor
We found the factors 501,4905 . The biggest common factor number is the GCF number.
So the greatest common factor 501,4905 is 3.
Lets's calculate LCM of 342,415
Given numbers has no common factors except 1. So, there LCM is their product i.e 141930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/141930
Therefore, the GCF of Fractions 501/342,4905/415 is 3/141930
Least Common Multiple of 342,415 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 342,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(342,415) x common factors =1 x 1 = 1
LCM(342,415) = ( 342 × 415 ) / 1
LCM(342,415) = 141930 / 1
LCM(342,415) = 141930
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FAQs on GCF of Fractions of 501/342, 4905/415
1. What is the HCF of 501,4905?
The HCF of 501,4905 is 3
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 501/342, 4905/415?
Answer: GCF of Numerators as per given numbers 501/342, 4905/415 is
GCF of Numerators i.e. for 501,4905 is 3
LCM of denominators i.e. for 342,415 is 141930.
Thus, GCF of Fractions is 3/141930.Finally, GCF of Fractions for 501/342, 4905/415 is 3/141930.