Use our free GCF of Fractions Calculator tool to compute the GCF of 5026/337, 9942/3910 i.e 2/1317670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5026/337, 9942/3910.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5026/337,9942/3910
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 5026/337,9942/3910, numerators are 5026,9942
Denominators are 337,3910
The GCF of 5026,9942 is 2 .
LCM of 337,3910 is 1317670.
The greatest common factor of 5026/337,9942/3910 = [GCF of 5026,9942]/[LCM of 337,3910]= 2/1317670
Therefore, the GCF of 5026/337,9942/3910 is 2/1317670.
To find the highest common factor of 5026,9942, we have to find the factors of both numbers and list the highest common factor.
The factors of 5026 are 1, 2, 7, 14, 359, 718, 2513, 5026
The factors of 9942 are 1, 2, 3, 6, 1657, 3314, 4971, 9942
The HCF of 5026,9942 is 2.
Lets's calculate GCF of 5026,9942
2 | 5026, 9942 |
2513, 4971 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 5026
:1,2,7,14,359,718,2513,5026
Now, list down the factors of 9942
:1,2,3,6,1657,3314,4971,9942
Greatest Common Factor
We found the factors 5026,9942 . The biggest common factor number is the GCF number.
So the greatest common factor 5026,9942 is 2.
Lets's calculate LCM of 337,3910
Given numbers has no common factors except 1. So, there LCM is their product i.e 1317670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1317670
Therefore, the GCF of Fractions 5026/337,9942/3910 is 2/1317670
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 337,3910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,3910) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,3910) x common factors =1 x 1 = 1
LCM(337,3910) = ( 337 × 3910 ) / 1
LCM(337,3910) = 1317670 / 1
LCM(337,3910) = 1317670
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5026,9942?
The HCF of 5026,9942 is 2
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 5026/337, 9942/3910?
Answer: GCF of Numerators as per given numbers 5026/337, 9942/3910 is
GCF of Numerators i.e. for 5026,9942 is 2
LCM of denominators i.e. for 337,3910 is 1317670.
Thus, GCF of Fractions is 2/1317670.Finally, GCF of Fractions for 5026/337, 9942/3910 is 2/1317670.