GCF of 4305/458, 8874/9887
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4305/458, 8874/9887 i.e 3/4528246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4305/458, 8874/9887.
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 4305/458,8874/9887?
Given fractions are 4305/458,8874/9887
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 4305/458,8874/9887, numerators are 4305,8874
Denominators are 458,9887
The GCF of 4305,8874 is 3 .
LCM of 458,9887 is 4528246.
The greatest common factor of 4305/458,8874/9887 = [GCF of 4305,8874]/[LCM of 458,9887]= 3/4528246
Therefore, the GCF of 4305/458,8874/9887 is 3/4528246.
To find the highest common factor of 4305,8874, we have to find the factors of both numbers and list the highest common factor.
The factors of 4305 are 1, 3, 5, 7, 15, 21, 35, 41, 105, 123, 205, 287, 615, 861, 1435, 4305
The factors of 8874 are 1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874
The HCF of 4305,8874 is 3.
Lets's calculate GCF of 4305,8874
| 3 | 4305, 8874 |
| 1435, 2958 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4305,8874 By Matching Biggest Common Factor Method
Now, list down the factors of 4305
:1,3,5,7,15,21,35,41,105,123,205,287,615,861,1435,4305
Now, list down the factors of 8874
:1,2,3,6,9,17,18,29,34,51,58,87,102,153,174,261,306,493,522,986,1479,2958,4437,8874
Greatest Common Factor
We found the factors 4305,8874 . The biggest common factor number is the GCF number.
So the greatest common factor 4305,8874 is 3.
Lets's calculate LCM of 458,9887
Given numbers has no common factors except 1. So, there LCM is their product i.e 4528246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4528246
Therefore, the GCF of Fractions 4305/458,8874/9887 is 3/4528246
Least Common Multiple of 458,9887 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 458,9887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,9887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(458,9887) x common factors =1 x 1 = 1
LCM(458,9887) = ( 458 × 9887 ) / 1
LCM(458,9887) = 4528246 / 1
LCM(458,9887) = 4528246
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FAQs on GCF of Fractions of 4305/458, 8874/9887
1. What is the HCF of 4305,8874?
The HCF of 4305,8874 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 4305/458, 8874/9887?
Answer: GCF of Numerators as per given numbers 4305/458, 8874/9887 is
GCF of Numerators i.e. for 4305,8874 is 3
LCM of denominators i.e. for 458,9887 is 4528246.
Thus, GCF of Fractions is 3/4528246.Finally, GCF of Fractions for 4305/458, 8874/9887 is 3/4528246.