Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1028/298,3410/5798
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 1028,3410
Greatest Common Factor of Numerators i.e. GCF of 1028,3410 is 2 .
LCM of Denominators means LCM of 298,5798 as per the given fractions.
LCM of 298,5798 is 863902 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1028,3410
2 | 1028, 3410 |
514, 1705 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1028
List of positive integer factors of 1028 that divides 1028 without a remainder.
1,2,4,257,514,1028
Factors of 3410
List of positive integer factors of 3410 that divides 3410 without a remainder.
1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410
Greatest Common Factor
We found the factors 1028,3410 . The biggest common factor number is the GCF number.
So the greatest common factor 1028,3410 is 2.
Lets's calculate LCM of 298,5798
2 | 298, 5798 |
149, 2899 |
∴ So the LCM of the given numbers is 2 x 149 x 2899 = 863902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/863902
Therefore, the GCF of Fractions 1028/298,3410/5798 is 2/863902
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 298,5798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,5798) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,5798) x common factors =2 x 1 = 2
LCM(298,5798) = ( 298 × 5798 ) / 2
LCM(298,5798) = 1727804 / 2
LCM(298,5798) = 863902
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 1028/298, 3410/5798?
Answer: GCF of Numerators as per given numbers 1028/298, 3410/5798 is
GCF of Numerators i.e. for 1028,3410 is 2
LCM of denominators i.e. for 298,5798 is 863902.
Thus, GCF of Fractions is 2/863902.Finally, GCF of Fractions for 1028/298, 3410/5798 is 2/863902.