Use our free GCF of Fractions Calculator tool to compute the GCF of 5582/940, 1366/2134 i.e 2/1002980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5582/940, 1366/2134.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5582/940,1366/2134
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 5582/940,1366/2134, numerators are 5582,1366
Denominators are 940,2134
The GCF of 5582,1366 is 2 .
LCM of 940,2134 is 1002980.
The greatest common factor of 5582/940,1366/2134 = [GCF of 5582,1366]/[LCM of 940,2134]= 2/1002980
Therefore, the GCF of 5582/940,1366/2134 is 2/1002980.
To find the highest common factor of 5582,1366, we have to find the factors of both numbers and list the highest common factor.
The factors of 5582 are 1, 2, 2791, 5582
The factors of 1366 are 1, 2, 683, 1366
The HCF of 5582,1366 is 2.
Lets's calculate GCF of 5582,1366
2 | 5582, 1366 |
2791, 683 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 5582
:1,2,2791,5582
Now, list down the factors of 1366
:1,2,683,1366
Greatest Common Factor
We found the factors 5582,1366 . The biggest common factor number is the GCF number.
So the greatest common factor 5582,1366 is 2.
Lets's calculate LCM of 940,2134
2 | 940, 2134 |
470, 1067 |
∴ So the LCM of the given numbers is 2 x 470 x 1067 = 1002980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1002980
Therefore, the GCF of Fractions 5582/940,1366/2134 is 2/1002980
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 940,2134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,2134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(940,2134) x common factors =2 x 1 = 2
LCM(940,2134) = ( 940 × 2134 ) / 2
LCM(940,2134) = 2005960 / 2
LCM(940,2134) = 1002980
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5582,1366?
The HCF of 5582,1366 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 5582/940, 1366/2134?
Answer: GCF of Numerators as per given numbers 5582/940, 1366/2134 is
GCF of Numerators i.e. for 5582,1366 is 2
LCM of denominators i.e. for 940,2134 is 1002980.
Thus, GCF of Fractions is 2/1002980.Finally, GCF of Fractions for 5582/940, 1366/2134 is 2/1002980.