GCF of 3003/606, 9968/6712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3003/606, 9968/6712 i.e 7/2033736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3003/606, 9968/6712.
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 3003/606,9968/6712?
Given fractions are 3003/606,9968/6712
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 3003/606,9968/6712, numerators are 3003,9968
Denominators are 606,6712
The GCF of 3003,9968 is 7 .
LCM of 606,6712 is 2033736.
The greatest common factor of 3003/606,9968/6712 = [GCF of 3003,9968]/[LCM of 606,6712]= 7/2033736
Therefore, the GCF of 3003/606,9968/6712 is 7/2033736.
To find the highest common factor of 3003,9968, we have to find the factors of both numbers and list the highest common factor.
The factors of 3003 are 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, 3003
The factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968
The HCF of 3003,9968 is 7.
Lets's calculate GCF of 3003,9968
| 7 | 3003, 9968 |
| 429, 1424 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3003,9968 By Matching Biggest Common Factor Method
Now, list down the factors of 3003
:1,3,7,11,13,21,33,39,77,91,143,231,273,429,1001,3003
Now, list down the factors of 9968
:1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968
Greatest Common Factor
We found the factors 3003,9968 . The biggest common factor number is the GCF number.
So the greatest common factor 3003,9968 is 7.
Lets's calculate LCM of 606,6712
| 2 | 606, 6712 |
| 303, 3356 |
∴ So the LCM of the given numbers is 2 x 303 x 3356 = 2033736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2033736
Therefore, the GCF of Fractions 3003/606,9968/6712 is 7/2033736
Least Common Multiple of 606,6712 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 606,6712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,6712) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(606,6712) x common factors =2 x 1 = 2
LCM(606,6712) = ( 606 × 6712 ) / 2
LCM(606,6712) = 4067472 / 2
LCM(606,6712) = 2033736
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FAQs on GCF of Fractions of 3003/606, 9968/6712
1. What is the HCF of 3003,9968?
The HCF of 3003,9968 is 7
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 3003/606, 9968/6712?
Answer: GCF of Numerators as per given numbers 3003/606, 9968/6712 is
GCF of Numerators i.e. for 3003,9968 is 7
LCM of denominators i.e. for 606,6712 is 2033736.
Thus, GCF of Fractions is 7/2033736.Finally, GCF of Fractions for 3003/606, 9968/6712 is 7/2033736.