Use our free GCF of Fractions Calculator tool to compute the GCF of 4707/511, 3291/3265 i.e 3/1668415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4707/511, 3291/3265.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4707/511,3291/3265
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 4707/511,3291/3265, numerators are 4707,3291
Denominators are 511,3265
The GCF of 4707,3291 is 3 .
LCM of 511,3265 is 1668415.
The greatest common factor of 4707/511,3291/3265 = [GCF of 4707,3291]/[LCM of 511,3265]= 3/1668415
Therefore, the GCF of 4707/511,3291/3265 is 3/1668415.
To find the highest common factor of 4707,3291, we have to find the factors of both numbers and list the highest common factor.
The factors of 4707 are 1, 3, 9, 523, 1569, 4707
The factors of 3291 are 1, 3, 1097, 3291
The HCF of 4707,3291 is 3.
Lets's calculate GCF of 4707,3291
3 | 4707, 3291 |
1569, 1097 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 4707
:1,3,9,523,1569,4707
Now, list down the factors of 3291
:1,3,1097,3291
Greatest Common Factor
We found the factors 4707,3291 . The biggest common factor number is the GCF number.
So the greatest common factor 4707,3291 is 3.
Lets's calculate LCM of 511,3265
Given numbers has no common factors except 1. So, there LCM is their product i.e 1668415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1668415
Therefore, the GCF of Fractions 4707/511,3291/3265 is 3/1668415
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 511,3265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,3265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,3265) x common factors =1 x 1 = 1
LCM(511,3265) = ( 511 × 3265 ) / 1
LCM(511,3265) = 1668415 / 1
LCM(511,3265) = 1668415
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4707,3291?
The HCF of 4707,3291 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 4707/511, 3291/3265?
Answer: GCF of Numerators as per given numbers 4707/511, 3291/3265 is
GCF of Numerators i.e. for 4707,3291 is 3
LCM of denominators i.e. for 511,3265 is 1668415.
Thus, GCF of Fractions is 3/1668415.Finally, GCF of Fractions for 4707/511, 3291/3265 is 3/1668415.