Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 346/267,4515/151
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 346,4515
Greatest Common Factor of Numerators i.e. GCF of 346,4515 is 1 .
LCM of Denominators means LCM of 267,151 as per the given fractions.
LCM of 267,151 is 40317 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 346,4515
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Factors of 4515
List of positive integer factors of 4515 that divides 4515 without a remainder.
1,3,5,7,15,21,35,43,105,129,215,301,645,903,1505,4515
Greatest Common Factor
We found the factors 346,4515 . The biggest common factor number is the GCF number.
So the greatest common factor 346,4515 is 1.
Lets's calculate LCM of 267,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 40317
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40317
Therefore, the GCF of Fractions 346/267,4515/151 is 1/40317
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 267,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,151) x common factors =1 x 1 = 1
LCM(267,151) = ( 267 × 151 ) / 1
LCM(267,151) = 40317 / 1
LCM(267,151) = 40317
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 346/267, 4515/151?
Answer: GCF of Numerators as per given numbers 346/267, 4515/151 is
GCF of Numerators i.e. for 346,4515 is 1
LCM of denominators i.e. for 267,151 is 40317.
Thus, GCF of Fractions is 1/40317.Finally, GCF of Fractions for 346/267, 4515/151 is 1/40317.