GCF of 3663/515, 7908/1002
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3663/515, 7908/1002 i.e 3/516030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3663/515, 7908/1002.
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 3663/515,7908/1002?
Given fractions are 3663/515,7908/1002
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 3663/515,7908/1002, numerators are 3663,7908
Denominators are 515,1002
The GCF of 3663,7908 is 3 .
LCM of 515,1002 is 516030.
The greatest common factor of 3663/515,7908/1002 = [GCF of 3663,7908]/[LCM of 515,1002]= 3/516030
Therefore, the GCF of 3663/515,7908/1002 is 3/516030.
To find the highest common factor of 3663,7908, we have to find the factors of both numbers and list the highest common factor.
The factors of 3663 are 1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663
The factors of 7908 are 1, 2, 3, 4, 6, 12, 659, 1318, 1977, 2636, 3954, 7908
The HCF of 3663,7908 is 3.
Lets's calculate GCF of 3663,7908
| 3 | 3663, 7908 |
| 1221, 2636 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3663,7908 By Matching Biggest Common Factor Method
Now, list down the factors of 3663
:1,3,9,11,33,37,99,111,333,407,1221,3663
Now, list down the factors of 7908
:1,2,3,4,6,12,659,1318,1977,2636,3954,7908
Greatest Common Factor
We found the factors 3663,7908 . The biggest common factor number is the GCF number.
So the greatest common factor 3663,7908 is 3.
Lets's calculate LCM of 515,1002
Given numbers has no common factors except 1. So, there LCM is their product i.e 516030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/516030
Therefore, the GCF of Fractions 3663/515,7908/1002 is 3/516030
Least Common Multiple of 515,1002 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 515,1002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,1002) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,1002) x common factors =1 x 1 = 1
LCM(515,1002) = ( 515 × 1002 ) / 1
LCM(515,1002) = 516030 / 1
LCM(515,1002) = 516030
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FAQs on GCF of Fractions of 3663/515, 7908/1002
1. What is the HCF of 3663,7908?
The HCF of 3663,7908 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 3663/515, 7908/1002?
Answer: GCF of Numerators as per given numbers 3663/515, 7908/1002 is
GCF of Numerators i.e. for 3663,7908 is 3
LCM of denominators i.e. for 515,1002 is 516030.
Thus, GCF of Fractions is 3/516030.Finally, GCF of Fractions for 3663/515, 7908/1002 is 3/516030.