Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 239/195,741/211,320/380
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 239,741,320
Greatest Common Factor of Numerators i.e. GCF of 239,741,320 is 1 .
LCM of Denominators means LCM of 195,211,380 as per the given fractions.
LCM of 195,211,380 is 3127020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 239,741,320
∴ 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 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Greatest Common Factor
We found the factors 239,741,320 . The biggest common factor number is the GCF number.
So the greatest common factor 239,741,320 is 1.
Lets's calculate LCM of 195,211,380
5 | 195, 211, 380 |
39, 211, 76 |
∴ So the LCM of the given numbers is 5 x 39 x 211 x 76 = 3127020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3127020
Therefore, the GCF of Fractions 239/195,741/211,320/380 is 1/3127020
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 195,211,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,211,380) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(195,211,380) x common factors =1 x 5 = 5
LCM(195,211,380) = ( 195 × 211 × 380 ) / 5
LCM(195,211,380) = 15635100 / 5
LCM(195,211,380) = 3127020
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 239/195, 741/211, 320/380?
Answer: GCF of Numerators as per given numbers 239/195, 741/211, 320/380 is
GCF of Numerators i.e. for 239,741,320 is 1
LCM of denominators i.e. for 195,211,380 is 3127020.
Thus, GCF of Fractions is 1/3127020.Finally, GCF of Fractions for 239/195, 741/211, 320/380 is 1/3127020.