Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4431/35,1286/348
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 4431,1286
Greatest Common Factor of Numerators i.e. GCF of 4431,1286 is 1 .
LCM of Denominators means LCM of 35,348 as per the given fractions.
LCM of 35,348 is 12180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4431,1286
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4431
List of positive integer factors of 4431 that divides 4431 without a remainder.
1,3,7,21,211,633,1477,4431
Factors of 1286
List of positive integer factors of 1286 that divides 1286 without a remainder.
1,2,643,1286
Greatest Common Factor
We found the factors 4431,1286 . The biggest common factor number is the GCF number.
So the greatest common factor 4431,1286 is 1.
Lets's calculate LCM of 35,348
Given numbers has no common factors except 1. So, there LCM is their product i.e 12180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12180
Therefore, the GCF of Fractions 4431/35,1286/348 is 1/12180
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 35,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,348) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,348) x common factors =1 x 1 = 1
LCM(35,348) = ( 35 × 348 ) / 1
LCM(35,348) = 12180 / 1
LCM(35,348) = 12180
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 4431/35, 1286/348?
Answer: GCF of Numerators as per given numbers 4431/35, 1286/348 is
GCF of Numerators i.e. for 4431,1286 is 1
LCM of denominators i.e. for 35,348 is 12180.
Thus, GCF of Fractions is 1/12180.Finally, GCF of Fractions for 4431/35, 1286/348 is 1/12180.