Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 766/15,357/3984
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 766,357
Greatest Common Factor of Numerators i.e. GCF of 766,357 is 1 .
LCM of Denominators means LCM of 15,3984 as per the given fractions.
LCM of 15,3984 is 19920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 766,357
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Greatest Common Factor
We found the factors 766,357 . The biggest common factor number is the GCF number.
So the greatest common factor 766,357 is 1.
Lets's calculate LCM of 15,3984
3 | 15, 3984 |
5, 1328 |
∴ So the LCM of the given numbers is 3 x 5 x 1328 = 19920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19920
Therefore, the GCF of Fractions 766/15,357/3984 is 1/19920
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 15,3984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,3984) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(15,3984) x common factors =3 x 1 = 3
LCM(15,3984) = ( 15 × 3984 ) / 3
LCM(15,3984) = 59760 / 3
LCM(15,3984) = 19920
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 766/15, 357/3984?
Answer: GCF of Numerators as per given numbers 766/15, 357/3984 is
GCF of Numerators i.e. for 766,357 is 1
LCM of denominators i.e. for 15,3984 is 19920.
Thus, GCF of Fractions is 1/19920.Finally, GCF of Fractions for 766/15, 357/3984 is 1/19920.