GCF of 5030/412, 4122/365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5030/412, 4122/365 i.e 2/150380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5030/412, 4122/365.
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 5030/412,4122/365?
Given fractions are 5030/412,4122/365
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 5030/412,4122/365, numerators are 5030,4122
Denominators are 412,365
The GCF of 5030,4122 is 2 .
LCM of 412,365 is 150380.
The greatest common factor of 5030/412,4122/365 = [GCF of 5030,4122]/[LCM of 412,365]= 2/150380
Therefore, the GCF of 5030/412,4122/365 is 2/150380.
To find the highest common factor of 5030,4122, we have to find the factors of both numbers and list the highest common factor.
The factors of 5030 are 1, 2, 5, 10, 503, 1006, 2515, 5030
The factors of 4122 are 1, 2, 3, 6, 9, 18, 229, 458, 687, 1374, 2061, 4122
The HCF of 5030,4122 is 2.
Lets's calculate GCF of 5030,4122
| 2 | 5030, 4122 |
| 2515, 2061 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5030,4122 By Matching Biggest Common Factor Method
Now, list down the factors of 5030
:1,2,5,10,503,1006,2515,5030
Now, list down the factors of 4122
:1,2,3,6,9,18,229,458,687,1374,2061,4122
Greatest Common Factor
We found the factors 5030,4122 . The biggest common factor number is the GCF number.
So the greatest common factor 5030,4122 is 2.
Lets's calculate LCM of 412,365
Given numbers has no common factors except 1. So, there LCM is their product i.e 150380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/150380
Therefore, the GCF of Fractions 5030/412,4122/365 is 2/150380
Least Common Multiple of 412,365 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 412,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(412,365) x common factors =1 x 1 = 1
LCM(412,365) = ( 412 × 365 ) / 1
LCM(412,365) = 150380 / 1
LCM(412,365) = 150380
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FAQs on GCF of Fractions of 5030/412, 4122/365
1. What is the HCF of 5030,4122?
The HCF of 5030,4122 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 5030/412, 4122/365?
Answer: GCF of Numerators as per given numbers 5030/412, 4122/365 is
GCF of Numerators i.e. for 5030,4122 is 2
LCM of denominators i.e. for 412,365 is 150380.
Thus, GCF of Fractions is 2/150380.Finally, GCF of Fractions for 5030/412, 4122/365 is 2/150380.