Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/32,380/57,153/131
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 81,380,153
Greatest Common Factor of Numerators i.e. GCF of 81,380,153 is 1 .
LCM of Denominators means LCM of 32,57,131 as per the given fractions.
LCM of 32,57,131 is 238944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 81,380,153
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1,3,9,17,51,153
Greatest Common Factor
We found the factors 81,380,153 . The biggest common factor number is the GCF number.
So the greatest common factor 81,380,153 is 1.
Lets's calculate LCM of 32,57,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 238944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238944
Therefore, the GCF of Fractions 81/32,380/57,153/131 is 1/238944
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 32,57,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,57,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,57,131) x common factors =1 x 1 = 1
LCM(32,57,131) = ( 32 × 57 × 131 ) / 1
LCM(32,57,131) = 238944 / 1
LCM(32,57,131) = 238944
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 81/32, 380/57, 153/131?
Answer: GCF of Numerators as per given numbers 81/32, 380/57, 153/131 is
GCF of Numerators i.e. for 81,380,153 is 1
LCM of denominators i.e. for 32,57,131 is 238944.
Thus, GCF of Fractions is 1/238944.Finally, GCF of Fractions for 81/32, 380/57, 153/131 is 1/238944.