Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 239/85,1191/672
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 239,1191
Greatest Common Factor of Numerators i.e. GCF of 239,1191 is 1 .
LCM of Denominators means LCM of 85,672 as per the given fractions.
LCM of 85,672 is 57120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 239,1191
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Factors of 1191
List of positive integer factors of 1191 that divides 1191 without a remainder.
1,3,397,1191
Greatest Common Factor
We found the factors 239,1191 . The biggest common factor number is the GCF number.
So the greatest common factor 239,1191 is 1.
Lets's calculate LCM of 85,672
Given numbers has no common factors except 1. So, there LCM is their product i.e 57120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57120
Therefore, the GCF of Fractions 239/85,1191/672 is 1/57120
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 85,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,672) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,672) x common factors =1 x 1 = 1
LCM(85,672) = ( 85 × 672 ) / 1
LCM(85,672) = 57120 / 1
LCM(85,672) = 57120
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 239/85, 1191/672?
Answer: GCF of Numerators as per given numbers 239/85, 1191/672 is
GCF of Numerators i.e. for 239,1191 is 1
LCM of denominators i.e. for 85,672 is 57120.
Thus, GCF of Fractions is 1/57120.Finally, GCF of Fractions for 239/85, 1191/672 is 1/57120.