Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 255/49,523/41,366/30
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 255,523,366
Greatest Common Factor of Numerators i.e. GCF of 255,523,366 is 1 .
LCM of Denominators means LCM of 49,41,30 as per the given fractions.
LCM of 49,41,30 is 60270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 255,523,366
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Factors of 523
List of positive integer factors of 523 that divides 523 without a remainder.
1,523
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Greatest Common Factor
We found the factors 255,523,366 . The biggest common factor number is the GCF number.
So the greatest common factor 255,523,366 is 1.
Lets's calculate LCM of 49,41,30
Given numbers has no common factors except 1. So, there LCM is their product i.e 60270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60270
Therefore, the GCF of Fractions 255/49,523/41,366/30 is 1/60270
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 49,41,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,41,30) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,41,30) x common factors =1 x 1 = 1
LCM(49,41,30) = ( 49 × 41 × 30 ) / 1
LCM(49,41,30) = 60270 / 1
LCM(49,41,30) = 60270
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 255/49, 523/41, 366/30?
Answer: GCF of Numerators as per given numbers 255/49, 523/41, 366/30 is
GCF of Numerators i.e. for 255,523,366 is 1
LCM of denominators i.e. for 49,41,30 is 60270.
Thus, GCF of Fractions is 1/60270.Finally, GCF of Fractions for 255/49, 523/41, 366/30 is 1/60270.