GCF of 4130/194, 9890/3887
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4130/194, 9890/3887 i.e 10/754078 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4130/194, 9890/3887.
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 4130/194,9890/3887?
Given fractions are 4130/194,9890/3887
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 4130/194,9890/3887, numerators are 4130,9890
Denominators are 194,3887
The GCF of 4130,9890 is 10 .
LCM of 194,3887 is 754078.
The greatest common factor of 4130/194,9890/3887 = [GCF of 4130,9890]/[LCM of 194,3887]= 10/754078
Therefore, the GCF of 4130/194,9890/3887 is 10/754078.
To find the highest common factor of 4130,9890, we have to find the factors of both numbers and list the highest common factor.
The factors of 4130 are 1, 2, 5, 7, 10, 14, 35, 59, 70, 118, 295, 413, 590, 826, 2065, 4130
The factors of 9890 are 1, 2, 5, 10, 23, 43, 46, 86, 115, 215, 230, 430, 989, 1978, 4945, 9890
The HCF of 4130,9890 is 10.
Lets's calculate GCF of 4130,9890
| 2 | 4130, 9890 |
| 5 | 2065, 4945 |
| 413, 989 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4130,9890 By Matching Biggest Common Factor Method
Now, list down the factors of 4130
:1,2,5,7,10,14,35,59,70,118,295,413,590,826,2065,4130
Now, list down the factors of 9890
:1,2,5,10,23,43,46,86,115,215,230,430,989,1978,4945,9890
Greatest Common Factor
We found the factors 4130,9890 . The biggest common factor number is the GCF number.
So the greatest common factor 4130,9890 is 10.
Lets's calculate LCM of 194,3887
Given numbers has no common factors except 1. So, there LCM is their product i.e 754078
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/754078
Therefore, the GCF of Fractions 4130/194,9890/3887 is 10/754078
Least Common Multiple of 194,3887 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 194,3887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,3887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(194,3887) x common factors =1 x 1 = 1
LCM(194,3887) = ( 194 × 3887 ) / 1
LCM(194,3887) = 754078 / 1
LCM(194,3887) = 754078
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FAQs on GCF of Fractions of 4130/194, 9890/3887
1. What is the HCF of 4130,9890?
The HCF of 4130,9890 is 10
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 4130/194, 9890/3887?
Answer: GCF of Numerators as per given numbers 4130/194, 9890/3887 is
GCF of Numerators i.e. for 4130,9890 is 10
LCM of denominators i.e. for 194,3887 is 754078.
Thus, GCF of Fractions is 10/754078.Finally, GCF of Fractions for 4130/194, 9890/3887 is 10/754078.