GCF of 7501/666, 4914/8064
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7501/666, 4914/8064 i.e 13/298368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7501/666, 4914/8064.
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 7501/666,4914/8064?
Given fractions are 7501/666,4914/8064
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 7501/666,4914/8064, numerators are 7501,4914
Denominators are 666,8064
The GCF of 7501,4914 is 13 .
LCM of 666,8064 is 298368.
The greatest common factor of 7501/666,4914/8064 = [GCF of 7501,4914]/[LCM of 666,8064]= 13/298368
Therefore, the GCF of 7501/666,4914/8064 is 13/298368.
To find the highest common factor of 7501,4914, we have to find the factors of both numbers and list the highest common factor.
The factors of 7501 are 1, 13, 577, 7501
The factors of 4914 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914
The HCF of 7501,4914 is 13.
Lets's calculate GCF of 7501,4914
| 13 | 7501, 4914 |
| 577, 378 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 7501,4914 By Matching Biggest Common Factor Method
Now, list down the factors of 7501
:1,13,577,7501
Now, list down the factors of 4914
:1,2,3,6,7,9,13,14,18,21,26,27,39,42,54,63,78,91,117,126,182,189,234,273,351,378,546,702,819,1638,2457,4914
Greatest Common Factor
We found the factors 7501,4914 . The biggest common factor number is the GCF number.
So the greatest common factor 7501,4914 is 13.
Lets's calculate LCM of 666,8064
| 2 | 666, 8064 |
| 3 | 333, 4032 |
| 3 | 111, 1344 |
| 37, 448 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 37 x 448 = 298368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/298368
Therefore, the GCF of Fractions 7501/666,4914/8064 is 13/298368
Least Common Multiple of 666,8064 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 666,8064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,8064) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(666,8064) x common factors =18 x 1 = 18
LCM(666,8064) = ( 666 × 8064 ) / 18
LCM(666,8064) = 5370624 / 18
LCM(666,8064) = 298368
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FAQs on GCF of Fractions of 7501/666, 4914/8064
1. What is the HCF of 7501,4914?
The HCF of 7501,4914 is 13
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 7501/666, 4914/8064?
Answer: GCF of Numerators as per given numbers 7501/666, 4914/8064 is
GCF of Numerators i.e. for 7501,4914 is 13
LCM of denominators i.e. for 666,8064 is 298368.
Thus, GCF of Fractions is 13/298368.Finally, GCF of Fractions for 7501/666, 4914/8064 is 13/298368.