GCF of 4320/650, 8660/8445
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4320/650, 8660/8445 i.e 20/1097850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4320/650, 8660/8445.
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 4320/650,8660/8445?
Given fractions are 4320/650,8660/8445
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 4320/650,8660/8445, numerators are 4320,8660
Denominators are 650,8445
The GCF of 4320,8660 is 20 .
LCM of 650,8445 is 1097850.
The greatest common factor of 4320/650,8660/8445 = [GCF of 4320,8660]/[LCM of 650,8445]= 20/1097850
Therefore, the GCF of 4320/650,8660/8445 is 20/1097850.
To find the highest common factor of 4320,8660, we have to find the factors of both numbers and list the highest common factor.
The factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320
The factors of 8660 are 1, 2, 4, 5, 10, 20, 433, 866, 1732, 2165, 4330, 8660
The HCF of 4320,8660 is 20.
Lets's calculate GCF of 4320,8660
| 2 | 4320, 8660 |
| 2 | 2160, 4330 |
| 5 | 1080, 2165 |
| 216, 433 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 4320,8660 By Matching Biggest Common Factor Method
Now, list down the factors of 4320
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,72,80,90,96,108,120,135,144,160,180,216,240,270,288,360,432,480,540,720,864,1080,1440,2160,4320
Now, list down the factors of 8660
:1,2,4,5,10,20,433,866,1732,2165,4330,8660
Greatest Common Factor
We found the factors 4320,8660 . The biggest common factor number is the GCF number.
So the greatest common factor 4320,8660 is 20.
Lets's calculate LCM of 650,8445
| 5 | 650, 8445 |
| 130, 1689 |
∴ So the LCM of the given numbers is 5 x 130 x 1689 = 1097850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/1097850
Therefore, the GCF of Fractions 4320/650,8660/8445 is 20/1097850
Least Common Multiple of 650,8445 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 650,8445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,8445) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(650,8445) x common factors =5 x 1 = 5
LCM(650,8445) = ( 650 × 8445 ) / 5
LCM(650,8445) = 5489250 / 5
LCM(650,8445) = 1097850
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4320/650, 8660/8445
1. What is the HCF of 4320,8660?
The HCF of 4320,8660 is 20
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 4320/650, 8660/8445?
Answer: GCF of Numerators as per given numbers 4320/650, 8660/8445 is
GCF of Numerators i.e. for 4320,8660 is 20
LCM of denominators i.e. for 650,8445 is 1097850.
Thus, GCF of Fractions is 20/1097850.Finally, GCF of Fractions for 4320/650, 8660/8445 is 20/1097850.