GCF of 1003/654, 4675/3003
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1003/654, 4675/3003 i.e 17/654654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1003/654, 4675/3003.
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 1003/654,4675/3003?
Given fractions are 1003/654,4675/3003
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 1003/654,4675/3003, numerators are 1003,4675
Denominators are 654,3003
The GCF of 1003,4675 is 17 .
LCM of 654,3003 is 654654.
The greatest common factor of 1003/654,4675/3003 = [GCF of 1003,4675]/[LCM of 654,3003]= 17/654654
Therefore, the GCF of 1003/654,4675/3003 is 17/654654.
To find the highest common factor of 1003,4675, we have to find the factors of both numbers and list the highest common factor.
The factors of 1003 are 1, 17, 59, 1003
The factors of 4675 are 1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, 4675
The HCF of 1003,4675 is 17.
Lets's calculate GCF of 1003,4675
| 17 | 1003, 4675 |
| 59, 275 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 1003,4675 By Matching Biggest Common Factor Method
Now, list down the factors of 1003
:1,17,59,1003
Now, list down the factors of 4675
:1,5,11,17,25,55,85,187,275,425,935,4675
Greatest Common Factor
We found the factors 1003,4675 . The biggest common factor number is the GCF number.
So the greatest common factor 1003,4675 is 17.
Lets's calculate LCM of 654,3003
| 3 | 654, 3003 |
| 218, 1001 |
∴ So the LCM of the given numbers is 3 x 218 x 1001 = 654654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/654654
Therefore, the GCF of Fractions 1003/654,4675/3003 is 17/654654
Least Common Multiple of 654,3003 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 654,3003 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,3003) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(654,3003) x common factors =3 x 1 = 3
LCM(654,3003) = ( 654 × 3003 ) / 3
LCM(654,3003) = 1963962 / 3
LCM(654,3003) = 654654
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FAQs on GCF of Fractions of 1003/654, 4675/3003
1. What is the HCF of 1003,4675?
The HCF of 1003,4675 is 17
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 1003/654, 4675/3003?
Answer: GCF of Numerators as per given numbers 1003/654, 4675/3003 is
GCF of Numerators i.e. for 1003,4675 is 17
LCM of denominators i.e. for 654,3003 is 654654.
Thus, GCF of Fractions is 17/654654.Finally, GCF of Fractions for 1003/654, 4675/3003 is 17/654654.