Use our free GCF of Fractions Calculator tool to compute the GCF of 5001/298, 9659/1940 i.e 1/289060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5001/298, 9659/1940.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5001/298,9659/1940
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 5001/298,9659/1940, numerators are 5001,9659
Denominators are 298,1940
The GCF of 5001,9659 is 1 .
LCM of 298,1940 is 289060.
The greatest common factor of 5001/298,9659/1940 = [GCF of 5001,9659]/[LCM of 298,1940]= 1/289060
Therefore, the GCF of 5001/298,9659/1940 is 1/289060.
To find the highest common factor of 5001,9659, we have to find the factors of both numbers and list the highest common factor.
The factors of 5001 are 1, 3, 1667, 5001
The factors of 9659 are 1, 13, 743, 9659
The HCF of 5001,9659 is 1.
Lets's calculate GCF of 5001,9659
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5001
:1,3,1667,5001
Now, list down the factors of 9659
:1,13,743,9659
Greatest Common Factor
We found the factors 5001,9659 . The biggest common factor number is the GCF number.
So the greatest common factor 5001,9659 is 1.
Lets's calculate LCM of 298,1940
2 | 298, 1940 |
149, 970 |
∴ So the LCM of the given numbers is 2 x 149 x 970 = 289060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289060
Therefore, the GCF of Fractions 5001/298,9659/1940 is 1/289060
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 298,1940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,1940) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,1940) x common factors =2 x 1 = 2
LCM(298,1940) = ( 298 × 1940 ) / 2
LCM(298,1940) = 578120 / 2
LCM(298,1940) = 289060
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5001,9659?
The HCF of 5001,9659 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 5001/298, 9659/1940?
Answer: GCF of Numerators as per given numbers 5001/298, 9659/1940 is
GCF of Numerators i.e. for 5001,9659 is 1
LCM of denominators i.e. for 298,1940 is 289060.
Thus, GCF of Fractions is 1/289060.Finally, GCF of Fractions for 5001/298, 9659/1940 is 1/289060.