Use our free GCF of Fractions Calculator tool to compute the GCF of 1501/381, 4649/1657 i.e 1/631317 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1501/381, 4649/1657.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1501/381,4649/1657
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 1501/381,4649/1657, numerators are 1501,4649
Denominators are 381,1657
The GCF of 1501,4649 is 1 .
LCM of 381,1657 is 631317.
The greatest common factor of 1501/381,4649/1657 = [GCF of 1501,4649]/[LCM of 381,1657]= 1/631317
Therefore, the GCF of 1501/381,4649/1657 is 1/631317.
To find the highest common factor of 1501,4649, we have to find the factors of both numbers and list the highest common factor.
The factors of 1501 are 1, 19, 79, 1501
The factors of 4649 are 1, 4649
The HCF of 1501,4649 is 1.
Lets's calculate GCF of 1501,4649
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1501
:1,19,79,1501
Now, list down the factors of 4649
:1,4649
Greatest Common Factor
We found the factors 1501,4649 . The biggest common factor number is the GCF number.
So the greatest common factor 1501,4649 is 1.
Lets's calculate LCM of 381,1657
Given numbers has no common factors except 1. So, there LCM is their product i.e 631317
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/631317
Therefore, the GCF of Fractions 1501/381,4649/1657 is 1/631317
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 381,1657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,1657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(381,1657) x common factors =1 x 1 = 1
LCM(381,1657) = ( 381 × 1657 ) / 1
LCM(381,1657) = 631317 / 1
LCM(381,1657) = 631317
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1501,4649?
The HCF of 1501,4649 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 1501/381, 4649/1657?
Answer: GCF of Numerators as per given numbers 1501/381, 4649/1657 is
GCF of Numerators i.e. for 1501,4649 is 1
LCM of denominators i.e. for 381,1657 is 631317.
Thus, GCF of Fractions is 1/631317.Finally, GCF of Fractions for 1501/381, 4649/1657 is 1/631317.