Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 268/71,255/5148
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 268,255
Greatest Common Factor of Numerators i.e. GCF of 268,255 is 1 .
LCM of Denominators means LCM of 71,5148 as per the given fractions.
LCM of 71,5148 is 365508 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 268,255
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 268,255 . The biggest common factor number is the GCF number.
So the greatest common factor 268,255 is 1.
Lets's calculate LCM of 71,5148
Given numbers has no common factors except 1. So, there LCM is their product i.e 365508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/365508
Therefore, the GCF of Fractions 268/71,255/5148 is 1/365508
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 71,5148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,5148) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,5148) x common factors =1 x 1 = 1
LCM(71,5148) = ( 71 × 5148 ) / 1
LCM(71,5148) = 365508 / 1
LCM(71,5148) = 365508
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 268/71, 255/5148?
Answer: GCF of Numerators as per given numbers 268/71, 255/5148 is
GCF of Numerators i.e. for 268,255 is 1
LCM of denominators i.e. for 71,5148 is 365508.
Thus, GCF of Fractions is 1/365508.Finally, GCF of Fractions for 268/71, 255/5148 is 1/365508.