Use our free GCF of Fractions Calculator tool to compute the GCF of 1806/244, 8245/7874 i.e 1/960628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1806/244, 8245/7874.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1806/244,8245/7874
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 1806/244,8245/7874, numerators are 1806,8245
Denominators are 244,7874
The GCF of 1806,8245 is 1 .
LCM of 244,7874 is 960628.
The greatest common factor of 1806/244,8245/7874 = [GCF of 1806,8245]/[LCM of 244,7874]= 1/960628
Therefore, the GCF of 1806/244,8245/7874 is 1/960628.
To find the highest common factor of 1806,8245, we have to find the factors of both numbers and list the highest common factor.
The factors of 1806 are 1, 2, 3, 6, 7, 14, 21, 42, 43, 86, 129, 258, 301, 602, 903, 1806
The factors of 8245 are 1, 5, 17, 85, 97, 485, 1649, 8245
The HCF of 1806,8245 is 1.
Lets's calculate GCF of 1806,8245
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1806
:1,2,3,6,7,14,21,42,43,86,129,258,301,602,903,1806
Now, list down the factors of 8245
:1,5,17,85,97,485,1649,8245
Greatest Common Factor
We found the factors 1806,8245 . The biggest common factor number is the GCF number.
So the greatest common factor 1806,8245 is 1.
Lets's calculate LCM of 244,7874
2 | 244, 7874 |
122, 3937 |
∴ So the LCM of the given numbers is 2 x 122 x 3937 = 960628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/960628
Therefore, the GCF of Fractions 1806/244,8245/7874 is 1/960628
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 244,7874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(244,7874) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(244,7874) x common factors =2 x 1 = 2
LCM(244,7874) = ( 244 × 7874 ) / 2
LCM(244,7874) = 1921256 / 2
LCM(244,7874) = 960628
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1806,8245?
The HCF of 1806,8245 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 1806/244, 8245/7874?
Answer: GCF of Numerators as per given numbers 1806/244, 8245/7874 is
GCF of Numerators i.e. for 1806,8245 is 1
LCM of denominators i.e. for 244,7874 is 960628.
Thus, GCF of Fractions is 1/960628.Finally, GCF of Fractions for 1806/244, 8245/7874 is 1/960628.