Use our free GCF of Fractions Calculator tool to compute the GCF of 3262/466, 1615/6510 i.e 1/1516830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3262/466, 1615/6510.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3262/466,1615/6510
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 3262/466,1615/6510, numerators are 3262,1615
Denominators are 466,6510
The GCF of 3262,1615 is 1 .
LCM of 466,6510 is 1516830.
The greatest common factor of 3262/466,1615/6510 = [GCF of 3262,1615]/[LCM of 466,6510]= 1/1516830
Therefore, the GCF of 3262/466,1615/6510 is 1/1516830.
To find the highest common factor of 3262,1615, we have to find the factors of both numbers and list the highest common factor.
The factors of 3262 are 1, 2, 7, 14, 233, 466, 1631, 3262
The factors of 1615 are 1, 5, 17, 19, 85, 95, 323, 1615
The HCF of 3262,1615 is 1.
Lets's calculate GCF of 3262,1615
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3262
:1,2,7,14,233,466,1631,3262
Now, list down the factors of 1615
:1,5,17,19,85,95,323,1615
Greatest Common Factor
We found the factors 3262,1615 . The biggest common factor number is the GCF number.
So the greatest common factor 3262,1615 is 1.
Lets's calculate LCM of 466,6510
2 | 466, 6510 |
233, 3255 |
∴ So the LCM of the given numbers is 2 x 233 x 3255 = 1516830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1516830
Therefore, the GCF of Fractions 3262/466,1615/6510 is 1/1516830
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 466,6510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,6510) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,6510) x common factors =2 x 1 = 2
LCM(466,6510) = ( 466 × 6510 ) / 2
LCM(466,6510) = 3033660 / 2
LCM(466,6510) = 1516830
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3262,1615?
The HCF of 3262,1615 is 1
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 3262/466, 1615/6510?
Answer: GCF of Numerators as per given numbers 3262/466, 1615/6510 is
GCF of Numerators i.e. for 3262,1615 is 1
LCM of denominators i.e. for 466,6510 is 1516830.
Thus, GCF of Fractions is 1/1516830.Finally, GCF of Fractions for 3262/466, 1615/6510 is 1/1516830.