Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1379/381,1896/6108
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 1379,1896
Greatest Common Factor of Numerators i.e. GCF of 1379,1896 is 1 .
LCM of Denominators means LCM of 381,6108 as per the given fractions.
LCM of 381,6108 is 775716 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1379,1896
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1379
List of positive integer factors of 1379 that divides 1379 without a remainder.
1,7,197,1379
Factors of 1896
List of positive integer factors of 1896 that divides 1896 without a remainder.
1,2,3,4,6,8,12,24,79,158,237,316,474,632,948,1896
Greatest Common Factor
We found the factors 1379,1896 . The biggest common factor number is the GCF number.
So the greatest common factor 1379,1896 is 1.
Lets's calculate LCM of 381,6108
3 | 381, 6108 |
127, 2036 |
∴ So the LCM of the given numbers is 3 x 127 x 2036 = 775716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/775716
Therefore, the GCF of Fractions 1379/381,1896/6108 is 1/775716
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 381,6108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,6108) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(381,6108) x common factors =3 x 1 = 3
LCM(381,6108) = ( 381 × 6108 ) / 3
LCM(381,6108) = 2327148 / 3
LCM(381,6108) = 775716
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 1379/381, 1896/6108?
Answer: GCF of Numerators as per given numbers 1379/381, 1896/6108 is
GCF of Numerators i.e. for 1379,1896 is 1
LCM of denominators i.e. for 381,6108 is 775716.
Thus, GCF of Fractions is 1/775716.Finally, GCF of Fractions for 1379/381, 1896/6108 is 1/775716.