Use our free GCF of Fractions Calculator tool to compute the GCF of 4507/412, 1965/1648 i.e 1/1648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4507/412, 1965/1648.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4507/412,1965/1648
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 4507/412,1965/1648, numerators are 4507,1965
Denominators are 412,1648
The GCF of 4507,1965 is 1 .
LCM of 412,1648 is 1648.
The greatest common factor of 4507/412,1965/1648 = [GCF of 4507,1965]/[LCM of 412,1648]= 1/1648
Therefore, the GCF of 4507/412,1965/1648 is 1/1648.
To find the highest common factor of 4507,1965, we have to find the factors of both numbers and list the highest common factor.
The factors of 4507 are 1, 4507
The factors of 1965 are 1, 3, 5, 15, 131, 393, 655, 1965
The HCF of 4507,1965 is 1.
Lets's calculate GCF of 4507,1965
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4507
:1,4507
Now, list down the factors of 1965
:1,3,5,15,131,393,655,1965
Greatest Common Factor
We found the factors 4507,1965 . The biggest common factor number is the GCF number.
So the greatest common factor 4507,1965 is 1.
Lets's calculate LCM of 412,1648
2 | 412, 1648 |
2 | 206, 824 |
103 | 103, 412 |
1, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 103 x 1 x 4 = 1648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1648
Therefore, the GCF of Fractions 4507/412,1965/1648 is 1/1648
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 412,1648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,1648) = 412
common factors(in case of two or more numbers have common factors) = 1
GCF(412,1648) x common factors =412 x 1 = 412
LCM(412,1648) = ( 412 × 1648 ) / 412
LCM(412,1648) = 678976 / 412
LCM(412,1648) = 1648
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4507,1965?
The HCF of 4507,1965 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 4507/412, 1965/1648?
Answer: GCF of Numerators as per given numbers 4507/412, 1965/1648 is
GCF of Numerators i.e. for 4507,1965 is 1
LCM of denominators i.e. for 412,1648 is 1648.
Thus, GCF of Fractions is 1/1648.Finally, GCF of Fractions for 4507/412, 1965/1648 is 1/1648.