Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1286/290,3060/7104
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 1286,3060
Greatest Common Factor of Numerators i.e. GCF of 1286,3060 is 2 .
LCM of Denominators means LCM of 290,7104 as per the given fractions.
LCM of 290,7104 is 1030080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1286,3060
2 | 1286, 3060 |
643, 1530 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1286
List of positive integer factors of 1286 that divides 1286 without a remainder.
1,2,643,1286
Factors of 3060
List of positive integer factors of 3060 that divides 3060 without a remainder.
1,2,3,4,5,6,9,10,12,15,17,18,20,30,34,36,45,51,60,68,85,90,102,153,170,180,204,255,306,340,510,612,765,1020,1530,3060
Greatest Common Factor
We found the factors 1286,3060 . The biggest common factor number is the GCF number.
So the greatest common factor 1286,3060 is 2.
Lets's calculate LCM of 290,7104
2 | 290, 7104 |
145, 3552 |
∴ So the LCM of the given numbers is 2 x 145 x 3552 = 1030080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1030080
Therefore, the GCF of Fractions 1286/290,3060/7104 is 2/1030080
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 290,7104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,7104) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,7104) x common factors =2 x 1 = 2
LCM(290,7104) = ( 290 × 7104 ) / 2
LCM(290,7104) = 2060160 / 2
LCM(290,7104) = 1030080
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 1286/290, 3060/7104?
Answer: GCF of Numerators as per given numbers 1286/290, 3060/7104 is
GCF of Numerators i.e. for 1286,3060 is 2
LCM of denominators i.e. for 290,7104 is 1030080.
Thus, GCF of Fractions is 2/1030080.Finally, GCF of Fractions for 1286/290, 3060/7104 is 2/1030080.