GCF of 8010/575, 4407/9600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8010/575, 4407/9600 i.e 3/220800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8010/575, 4407/9600.
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 8010/575,4407/9600?
Given fractions are 8010/575,4407/9600
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 8010/575,4407/9600, numerators are 8010,4407
Denominators are 575,9600
The GCF of 8010,4407 is 3 .
LCM of 575,9600 is 220800.
The greatest common factor of 8010/575,4407/9600 = [GCF of 8010,4407]/[LCM of 575,9600]= 3/220800
Therefore, the GCF of 8010/575,4407/9600 is 3/220800.
To find the highest common factor of 8010,4407, we have to find the factors of both numbers and list the highest common factor.
The factors of 8010 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 89, 90, 178, 267, 445, 534, 801, 890, 1335, 1602, 2670, 4005, 8010
The factors of 4407 are 1, 3, 13, 39, 113, 339, 1469, 4407
The HCF of 8010,4407 is 3.
Lets's calculate GCF of 8010,4407
| 3 | 8010, 4407 |
| 2670, 1469 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8010,4407 By Matching Biggest Common Factor Method
Now, list down the factors of 8010
:1,2,3,5,6,9,10,15,18,30,45,89,90,178,267,445,534,801,890,1335,1602,2670,4005,8010
Now, list down the factors of 4407
:1,3,13,39,113,339,1469,4407
Greatest Common Factor
We found the factors 8010,4407 . The biggest common factor number is the GCF number.
So the greatest common factor 8010,4407 is 3.
Lets's calculate LCM of 575,9600
| 5 | 575, 9600 |
| 5 | 115, 1920 |
| 23, 384 |
∴ So the LCM of the given numbers is 5 x 5 x 23 x 384 = 220800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/220800
Therefore, the GCF of Fractions 8010/575,4407/9600 is 3/220800
Least Common Multiple of 575,9600 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 575,9600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,9600) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(575,9600) x common factors =25 x 1 = 25
LCM(575,9600) = ( 575 × 9600 ) / 25
LCM(575,9600) = 5520000 / 25
LCM(575,9600) = 220800
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FAQs on GCF of Fractions of 8010/575, 4407/9600
1. What is the HCF of 8010,4407?
The HCF of 8010,4407 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 8010/575, 4407/9600?
Answer: GCF of Numerators as per given numbers 8010/575, 4407/9600 is
GCF of Numerators i.e. for 8010,4407 is 3
LCM of denominators i.e. for 575,9600 is 220800.
Thus, GCF of Fractions is 3/220800.Finally, GCF of Fractions for 8010/575, 4407/9600 is 3/220800.