GCF of 4045/471, 9990/8631
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4045/471, 9990/8631 i.e 5/1355067 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4045/471, 9990/8631.
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 4045/471,9990/8631?
Given fractions are 4045/471,9990/8631
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 4045/471,9990/8631, numerators are 4045,9990
Denominators are 471,8631
The GCF of 4045,9990 is 5 .
LCM of 471,8631 is 1355067.
The greatest common factor of 4045/471,9990/8631 = [GCF of 4045,9990]/[LCM of 471,8631]= 5/1355067
Therefore, the GCF of 4045/471,9990/8631 is 5/1355067.
To find the highest common factor of 4045,9990, we have to find the factors of both numbers and list the highest common factor.
The factors of 4045 are 1, 5, 809, 4045
The factors of 9990 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 37, 45, 54, 74, 90, 111, 135, 185, 222, 270, 333, 370, 555, 666, 999, 1110, 1665, 1998, 3330, 4995, 9990
The HCF of 4045,9990 is 5.
Lets's calculate GCF of 4045,9990
| 5 | 4045, 9990 |
| 809, 1998 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4045,9990 By Matching Biggest Common Factor Method
Now, list down the factors of 4045
:1,5,809,4045
Now, list down the factors of 9990
:1,2,3,5,6,9,10,15,18,27,30,37,45,54,74,90,111,135,185,222,270,333,370,555,666,999,1110,1665,1998,3330,4995,9990
Greatest Common Factor
We found the factors 4045,9990 . The biggest common factor number is the GCF number.
So the greatest common factor 4045,9990 is 5.
Lets's calculate LCM of 471,8631
| 3 | 471, 8631 |
| 157, 2877 |
∴ So the LCM of the given numbers is 3 x 157 x 2877 = 1355067
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1355067
Therefore, the GCF of Fractions 4045/471,9990/8631 is 5/1355067
Least Common Multiple of 471,8631 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 471,8631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,8631) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(471,8631) x common factors =3 x 1 = 3
LCM(471,8631) = ( 471 × 8631 ) / 3
LCM(471,8631) = 4065201 / 3
LCM(471,8631) = 1355067
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FAQs on GCF of Fractions of 4045/471, 9990/8631
1. What is the HCF of 4045,9990?
The HCF of 4045,9990 is 5
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 4045/471, 9990/8631?
Answer: GCF of Numerators as per given numbers 4045/471, 9990/8631 is
GCF of Numerators i.e. for 4045,9990 is 5
LCM of denominators i.e. for 471,8631 is 1355067.
Thus, GCF of Fractions is 5/1355067.Finally, GCF of Fractions for 4045/471, 9990/8631 is 5/1355067.