GCF of 8331/504, 3708/8464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8331/504, 3708/8464 i.e 3/533232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8331/504, 3708/8464.
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 8331/504,3708/8464?
Given fractions are 8331/504,3708/8464
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 8331/504,3708/8464, numerators are 8331,3708
Denominators are 504,8464
The GCF of 8331,3708 is 3 .
LCM of 504,8464 is 533232.
The greatest common factor of 8331/504,3708/8464 = [GCF of 8331,3708]/[LCM of 504,8464]= 3/533232
Therefore, the GCF of 8331/504,3708/8464 is 3/533232.
To find the highest common factor of 8331,3708, we have to find the factors of both numbers and list the highest common factor.
The factors of 8331 are 1, 3, 2777, 8331
The factors of 3708 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708
The HCF of 8331,3708 is 3.
Lets's calculate GCF of 8331,3708
| 3 | 8331, 3708 |
| 2777, 1236 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8331,3708 By Matching Biggest Common Factor Method
Now, list down the factors of 8331
:1,3,2777,8331
Now, list down the factors of 3708
:1,2,3,4,6,9,12,18,36,103,206,309,412,618,927,1236,1854,3708
Greatest Common Factor
We found the factors 8331,3708 . The biggest common factor number is the GCF number.
So the greatest common factor 8331,3708 is 3.
Lets's calculate LCM of 504,8464
| 2 | 504, 8464 |
| 2 | 252, 4232 |
| 2 | 126, 2116 |
| 63, 1058 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 63 x 1058 = 533232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/533232
Therefore, the GCF of Fractions 8331/504,3708/8464 is 3/533232
Least Common Multiple of 504,8464 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 504,8464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,8464) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(504,8464) x common factors =8 x 1 = 8
LCM(504,8464) = ( 504 × 8464 ) / 8
LCM(504,8464) = 4265856 / 8
LCM(504,8464) = 533232
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FAQs on GCF of Fractions of 8331/504, 3708/8464
1. What is the HCF of 8331,3708?
The HCF of 8331,3708 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 8331/504, 3708/8464?
Answer: GCF of Numerators as per given numbers 8331/504, 3708/8464 is
GCF of Numerators i.e. for 8331,3708 is 3
LCM of denominators i.e. for 504,8464 is 533232.
Thus, GCF of Fractions is 3/533232.Finally, GCF of Fractions for 8331/504, 3708/8464 is 3/533232.