GCF of 9003/519, 1830/6712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9003/519, 1830/6712 i.e 3/3483528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9003/519, 1830/6712.
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 9003/519,1830/6712?
Given fractions are 9003/519,1830/6712
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 9003/519,1830/6712, numerators are 9003,1830
Denominators are 519,6712
The GCF of 9003,1830 is 3 .
LCM of 519,6712 is 3483528.
The greatest common factor of 9003/519,1830/6712 = [GCF of 9003,1830]/[LCM of 519,6712]= 3/3483528
Therefore, the GCF of 9003/519,1830/6712 is 3/3483528.
To find the highest common factor of 9003,1830, we have to find the factors of both numbers and list the highest common factor.
The factors of 9003 are 1, 3, 3001, 9003
The factors of 1830 are 1, 2, 3, 5, 6, 10, 15, 30, 61, 122, 183, 305, 366, 610, 915, 1830
The HCF of 9003,1830 is 3.
Lets's calculate GCF of 9003,1830
| 3 | 9003, 1830 |
| 3001, 610 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9003,1830 By Matching Biggest Common Factor Method
Now, list down the factors of 9003
:1,3,3001,9003
Now, list down the factors of 1830
:1,2,3,5,6,10,15,30,61,122,183,305,366,610,915,1830
Greatest Common Factor
We found the factors 9003,1830 . The biggest common factor number is the GCF number.
So the greatest common factor 9003,1830 is 3.
Lets's calculate LCM of 519,6712
Given numbers has no common factors except 1. So, there LCM is their product i.e 3483528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3483528
Therefore, the GCF of Fractions 9003/519,1830/6712 is 3/3483528
Least Common Multiple of 519,6712 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 519,6712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,6712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,6712) x common factors =1 x 1 = 1
LCM(519,6712) = ( 519 × 6712 ) / 1
LCM(519,6712) = 3483528 / 1
LCM(519,6712) = 3483528
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FAQs on GCF of Fractions of 9003/519, 1830/6712
1. What is the HCF of 9003,1830?
The HCF of 9003,1830 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 9003/519, 1830/6712?
Answer: GCF of Numerators as per given numbers 9003/519, 1830/6712 is
GCF of Numerators i.e. for 9003,1830 is 3
LCM of denominators i.e. for 519,6712 is 3483528.
Thus, GCF of Fractions is 3/3483528.Finally, GCF of Fractions for 9003/519, 1830/6712 is 3/3483528.